Archive

Abstract:

This paper is concerned with the motion of a non-Newtonian fluid of Reiner-Rivlin type through an annulus with porous walls in presence of radial magnetic field. Here, the inner cylinder rotates about its axis with a transient angular velocity while the outer one is kept fixed.

Keywords:

Reiner-Rivlin fluid,Circular cylinder,Radial magnetic field,transient angular velocity,Hankel functions,

Refference:

1) Mahapatra, J. R . (1973) – Appl. Sci. Res., 27, 274.

2) Khamrui, S. R . (1960) – Bull. Cal. Math. Soc., 52, 45.

3) Watson, G. N. (1952) – Theory of Bessel functions.

4) Sommerfeld , A. (1949) – Partial Differential Equation in

Physics, New York.

5) Bagchi, K. C. (1966) – Appl. Sci. res., 16, 151.

FREE CONVECTION AND MASS TRANSFER FLOW WITH THERMAL DIFFUSION

Authors:

M.A.K Sazad, M.G. Arif, W. Ali Pk

DOI NO:

https://doi.org/10.26782/jmcms.2017.07.00004

Abstract:

MHD free convection and mass transfer flow of an incompressible viscous fluid past a continuously moving infinite vertical porous plate is made in the presence of joule heating and thermal diffusion where the medium is also porous. The corresponding momentum, energy and concentration equations are made similar by introducing the usual similarity transformations. These similarity equations are then solved by Matlab software with Shooting Iteration technique. The solutions are obtained for the case of large suction. The effects of the various parameters entering in to the problem on the velocity field are shown graphically.

Keywords:

MHD free convection,mass transfer flow,joule heating,thermal diffusion,

Refference:

1) Bestman, A. R.-Astrophys. Space Sci., Vol. 173, p. 93 (1990).
2) Eckert, E. R. G. and Drake, R. M., Analysis of Heat and Mass Transfer, McGraw-Hill Book Co. New York 1972.
3) Georgantopoulos, G. A., Astrophys. Space Sci. 65(2), 433 (1979).
4) Hossain, M. A, ICTP, International print No. IC/9/265 (1990)
5) Kafousias, N. G. Nanousis, N.D. and Geograntopoulas, G. A., Astrophys. Space Sci. 64, (1979), 391.
6) Kafoussias, N. G., Astrophys. Space Sci. 192, 11 (1992).

7) Nanousis, N. Georgantopoulos, G. A. and Papaioannou, A., Astrophys. Space
Sci. 70, 377 (1980).
8) Raptis, A. A. and Singh, A. K., Int. Comm. Heat and Mass Transfer, 10(4), 313
(1983).

T ₁-TYPE SEPARATION ON FUZZY TOPOLOGICAL SPACES IN QUASI-COINCIDENCE SENSE

Authors:

Saikh Shahjahan Miah, Ruhul Amin , Harun-or-Rashid

DOI NO:

https://doi.org/10.26782/jmcms.2017.07.00005

Abstract:

In this paper, we introduce two notions of property in fuzzy topological spaces by using quasi-coincidence sense and we establish relationship among our and others such notions. We also show that all these notations satisfy good extension property. Also hereditary, productive and projective properties are satisfied by these notions. We observe that all these concepts are preserved under one-one, onto, fuzzy open and fuzzy continuous mappings. Finally, we discuss initial and final fuzzy topologies on our second notion.

Keywords:

Fuzzy Topological Space,Quasi-coincidence,Fuzzy T₁ Topological Space,Good Extension,

Refference:

1) Ali, D. M. On certain separation and connectedness concepts in fuzzy topology, PhD, Banaras Hindu University, India, 1990.
2) Amin,M. R. Ali, D. M. and Hossain, M. S. On fuzzy bitopological spaces, Journal of Bangladesh Academy of Sciences, 32(2) (2014) 209- 217.
3) Amin,M. R. Ali, D. M. and Hossain, M. S. Concepts in fuzzy bitopological spaces, Journal of Mathematical and Computational Sciences, 4(6) (2014) 1055-1063.
4) Amin,M. R. and Hossain, M. S. On concepts in fuzzy bitopological spaces, Anals of Fuzzy Mathematics and Informatics, 11(6) (2016) 945- 955.
5) Chang, C. L. Fuzzy topological spaces, J. Math. Anal. Appl. 24(1968), 182
192.
6) Ahmd, Fora. Ali Separations axioms for fuzzy spaces, Fuzzy Sets and Systems, 33(1989), 59-75.
7) Goguen, T. A. Fuzzy Tychonoff theorem, J. Math. Anal. Appl. 43(1973), 734-742.
8) Guler, A. C. Kale Goknur, Regularity and normality in soft ideal topological spaces, Anals of Fuzzy Mathematics and Informatics, 9(3) (2015), 373-383.
9) Hossain, M. S. and Ali, D. M. On T1 fuzzy bitopological spaces, J. Bangladesh Acad. Sci., 31(2007), 129-135.
10) Hutton, B. Normality in fuzzy topological spaces, J. Math. Anal. Appl. 50(1975), 74-79.
11) Kandil and El-Shafee: Separation axioms for fuzzy bitopological spaces, J. Inst. Math. Comput. Sci. 4(3)(1991), 373-383.
12) Lipschutz, S. General topology, Copyright 1965, by the Schaum publishing company.
13) Lowen, R. Fuzzy topological spaces and fuzzy compactness, J. Math. Anal. Appl. 56(1976), 621-633.
14) Lowen, R. Initial and final fuzzy topologies and the fuzzy Tyconoff theorem, J. Math. Anal. Appl. 58(1977), 11-21.
15) Malghan, S. R. and Benchalli, S. S. On open maps, closed maps and local compactness in fuzzy topological spaces, J. Math. Anal. Appl. 99(2)(1984), 338-349.
16) Ming Pu. Pao. and Ming, Liu Ying. Fuzzy topology I. neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76(1980), 571-599.
17) Ming Pu. Pao. and Ming, Liu Ying.Fuzzy topology II. product and quotient spaces, J. Math. Anal. Appl. 77(1980), 20-37.
18) Rudin,W. Real and Complex Analysis, Copyright 1966, by McGraw Hill Inc.
19) Miah Saikh Shahjahan and Amin, Md Ruhul. Mappings in fuzzy Hausdorff spaces in quasi-coincidence sense, Journal of Bangladesh Academy of Sciences, (accepted).
20) Miah Saikh Shahjahan and Amin, M. R. Certain properties on fuzzy R0 topological spaces in quasi-coincidence sense, Annals of Pure and Applied, (accepted).
21) Srivastava, R. Lal S. N. and Srivastava, A. K. On fuzzy and topological spaces, J. Math. Anal. Appl. 136 (1988), 66-73.
22) Warren, R. H. Continuity of mappings in fuzzy topological spaces, Notices A.M. S. 21(1974), A-451.
23) Wong, C. K. Fuzzy topology: product and quotient theorem, J. Math. Anal. Appl. 45(1974), 512-521.
24) Wuyts, P. and Lowen, R. On separation axioms in fuzzy topological spaces, fuzzy neighborhood spaces, and fuzzy uniform spaces, J. Math. Anal. Appl. 93(1983), 27-41.
25) Zadeh, L. A. Fuzzy sets, Information and control, 8(1965), 338-353.

THE UNSTEADY FLOW OF VISCO-ELASTIC MAXWELL FLUID OF SECOND ORDER DUE TO A PERIODIC PRESSURE GRADIENT THROUGH A RECTANGULAR DUCT

Authors:

Pravangsu Sekhar Das

DOI NO:

https://doi.org/10.26782/jmcms.2017.07.00006

Abstract:

The objective of this research paper is to investigate the unsteady flow of general type Visco-elastic, fluid under the action of a periodic pressure gradient through a non-conducting rectangular duct. Firstly, the general investigation have been focused methodically to consider the unsteady flow of the fluid in presence of a periodic pressure gradient. Secondly, two important deductions have been made for Maxwell Fluid of first order model and ordinary viscous fluid model. Finally, the author investigates the velocity of the fluid numerically .

Keywords:

Unsteady Flow,Periodic Pressure Gradient,Basic Rheological Equations,Visco- Elastic Fluid ,Maxwell Fluid,Ordinary Viscous Fluid,

Refference:

1) lamb H. , Hydrodynamics, New york, Dover Publications.Inc.(1945)
2) Pai S.I., Viscous flow theory Laminar Flow, Princeton N.H.D. Nostrand. Inc(1965)
3) Oldoroyd J.G ,Proc.Roy Soc ( London) A.218, 122(1985)
4) Maxwell J.c., phil. Trans Roy .soc ( london) A.157, PP 49-88(1867)
5) Cowling T.G, Magneto-Hydrodynamics, Bristol, England , Adam High Hilger Ltd(1976)
6) Kapur J.N ., Bhatt B.S. and Sacheti N.C ., Non Newtonian Fluid Flows , India, Pragatic Prakashan (1982)
7) Batchelor G.K, An introduction to Fluid dynamics, Cambridge University press(1967)
8) Milne-thomson L.M, Theoritical Hydrodynamics , New York, The Macmilan Co(1955)
9) Lighthill James, Waves in fluids, London, Cambridge university press(1988)
10) Sengupta P. R. and kundu S. MHD Flow of visco-elastic oldroydian fluid with periodic pressure gradient in a pours rectangular duct with a possible generalization, journal of pure and applied physics vol. 11 no.2 pp-57-199
11) Das, P.S. Sengupta P.R. and Debnath, L.k . Lamb’s Plane problem in thermo-visco-elastic micropolar medium with the effect of gravity , International journal of mathematics and mathematical science, U.S.A , Vol.15, No.5, PP 795-802,(1992)

12) P.S. Das , effect of visco-elasticity of Maxwell type on surface waves in sea water, Proc. 4th international Conference on vibration Problems(ICOVP), vol.A, PP.130-132,(1999)

13) Das P.S. , The unsteady Flow of Visco-elastic Maxwell Fluid of second order due to a transient pressure gradient through a rectangular duct , P.A.M.S , Vol.II, No.1-2, PP. 31-37,2000
14) Das P.S. , The unsteady Flow of Visco-elastic Rivlin-Ericksen Fluid of first order due to a transient pressure gradient through a rectangular duct , Indian journal of theoretical Physics , Calcutta , Vol. No.49, P.P. 71-77,2001
15) Das P.S. , The unsteady Flow of Visco-elasticity of general type on surface waves in seawater, indian journal of Pure and applied Mathematics , National Sc. academy, Vol. 33(I) , P.P. 21-30,2002
16) Das P.S. , (2002) , Indian journal of Theoretical Physics, Vol. 5, No.2

NUMERICAL STUDY LAMINAR CONVECTION OVER A PLATE HEATED FROM BELOW BY CONVECTION

Authors:

Asish Mitra

DOI NO:

https://doi.org/10.26782/jmcms.2018.01.00001

admin January 30, 2018

Abstract:

In the present numerical study, laminar convection over a plate in a uniform free stream is investigated when the bottom surface of the plate is heated by convection from a hot fluid. It is found that the similarity solution is possible if the convective heat transfer associated with the hot fluid on the lower surface of the plate is proportional to x^1/2. The numerical solutions thus obtained are analyzed for a range of values of the parameter characterizing the hot fluid convection process and for representative Prandtl numbers of 0.1, 0.72 and 10. The results of the present simulation are then compared with the reports published in literature and find a good agreement.

Keywords:

Boundary Layer,Convective Boundary Condition,Horizontal Plate,Matlab,Similarity Solution,

Refference:

1. Blasius, H., “Grenzschichten in Flussigkeiten mit kleiner reibung,” Z. Math
Phys., vol. 56, pp. 1–37, 1908.
2. Incropera F P et al., Fundamentals of Heat and Mass Transfer. 6th ed. New
York, John Wiley, 2007.
3. Kays W M, Crawford M E., Convective Heat and Mass Transfer. New York,
McGraw Hill, 1980, pp. 51–54.
4. Bejan A., Convective Heat Transfer. 3rd ed. New York, John Wiley, 2004, pp.
84.
5. Rogers David F., Laminar Flow Aanalysis. New York, Cambridge University
Press, 1992, pp. 13–139.
6. Shu J-J, Pop I., “On thermal boundary layers on a ﬂat plate subjected to a
variable heat ﬂux,” Int J Heat Fluid Flow, vol. 19, pp. 79-84, 1988.
7. Cortell R., “Numerical solutions of classical Blasius ﬂat plate problem,” Appl
Math Comput, vol 170, pp. 706-710, 2005.
8. A. Aziz, “A similarity solution for laminar thermal boundary layer over a ﬂat
plate with a convective surface boundary condition,” Commun.Nonlinear Sci.
Numer. Simul., vol. 14, pp. 1064-1068, 2009.
9. L. Howarth, “On the solution of the laminar boundary layer equation,” Proc.
RSoc. Lond. A., vol. 164, pp. 547-579, 1938.

Journal Vol – 12 No -2, January 2018

ON THE PEAK SHAPE METHOD OF THE DETERMINATION OF ACTIVATION ENERGY AND ORDER OF KINETICS IN THERMOLUMINESCENCE RECORDED WITH HYPERBOLIC HEATING PROFILE

Authors:

SK Azharuddin, S. Dorendrajit Singh, P. S. Majumdar

DOI NO:

https://doi.org/10.26782/jmcms.2018.01.00002

admin January 30, 2018

Abstract:

A set of expressions are presented for the determination of activation energy of thermoluminescence peaks recorded with hyperbolic heating profile. Along with conventional half intensity points the peak widths at signal levels equal to 2/3 and 4/5 of peak height are used to determine the activation energy. A method of determination of order of kinetics of the peak by using its symmetry factor is also proposed. The present method is applied both to numerically computed and experimental TL peaks and encouraging results have been obtained.

Keywords:

Thermoluminescence,activation energy,order of kinetics,hyperbolic heating profile,

Refference:

1. Chen R. and Mckeever S.W.S., Theory of thermoluminescence and related phenomena, World Scintific, Singapore (1997)

2. Chen R. and Pagonis V. , Thermally and optically stimulated luminescence, A simulation approach, Wiely and Sons LTD,Chichester,U.K. (2011)

3. Arnold W. And Sherwood H. , J PhysChem, 63,2 (1959)

4. Halperin A., Leibovitz M. And Schlesinger M., Rev. Sci. Instrum ,33,1168 (1962)

5. Stammers K. , J Phys E, 12, 637 (1979)

6. Kelly P.J. and Laubitz M. J. Can J Phys, 45, 311 (1967)

7. Bos. A. J. J. Vijverberg R.N.M, Piters T.M and Mckeever S.W.S. ,J Phys D, 25 1249 (1992)

8. Fleming R.J., Can J Phys , 46,1509 (1968)

9. Balarin M, Phys Stat Sol(a), 31,K 111 (1975R)

10. Chen R. and Krish Y., Analysis of thermally stimulated process, Pargamon Oxford(1981)

11. Das B.C. Mukherjee B. N., Differential Calculus, U. N. Dhar and Sons, Kolkata,India (2012)

12. Randal J. T. And Wilkins M. H. F., ProcPhysSoc A, 184, 390 (1945)

13. Garlick G. F. J. And Gibson A.F. , Procphyssoc, 40, 579 (1948)

14. Sanyal D.C. and Das K.,introduction to numerical analysis,U.N.Dhar and sons Kolkata,India(2012)

15. Spigel M. R., Steptens L. J., Theory and Problems of statistics, 3rd edition, Tata McGraw Hill publication company, New Delhi, India (2000)

Journal Vol – 12 No -2, January 2018

AN INVENTORY MODEL FOR DETERIORATING ITEM WITH ALLOWABLE DELAY IN PAYMENT

Authors:

Md Abdul Hakim

DOI NO:

https://doi.org/10.26782/jmcms.2018.01.00003

admin January 30, 2018

Abstract:

In this paper, we have developed an inventory model for deteriorating item with permissible delay in payment. Demand function dependent on the selling price and frequency of advertisement cost. Partially backlogged shortages are allowed and backlogged rate dependent on the duration of waiting time up to arrival of next lot. The corresponding model have been formulated and solved. Three numerical examples have been considered to illustrate the model. Finally sensitivity analyses have been carried out taking one parameter at a time and other parameters as same.

Keywords:

Inventory,deterioration,partially backlogged shortages,permissible delay in payment,

Refference:

1. Haley C.W., Higgins H.C., Inventory policy and trade credit financing, Manage.
Sci. 20 (1973) 464-471.
2. Goyal S.K., Economic order quantity under conditions of permissible delay in
payments, J. Oper. Res. Soc. 36 (1985) 35–38.
3. Aggarwal S.P., Jaggi C.K., Ordering policies of deteriorating items under
permissible delay in payments, J. Oper. Res. Soc. 46 (1995) 658–662.
4. Jamal A.M.M., Sarker B.R., S. Wang, An ordering policy for deteriorating
items with allowable shortages and permissible delay in payment, J. Oper. Res.
Soc. 48 (1997) 826-833.

5. Hwang H., Shinn S.W., Retailer’s pricing and lot sizing policy for exponentially
deteriorating products under the condition of permissible delay in payments,
Comp. Oper. Res. 24 (1997) 539–547.
6. Chang C. T., Ouyang L. Y., Teng J. T., An EOQ model for deteriorating items
under supplier credits linked to ordering quantity, Appl. Math. Model. 27
(2003) 983–996.
7. Abad P. L., Jaggi C. K., A joint approach for setting unit price and the length
Of the credit period for a seller when end demand is price sensitive, Int. J.
Prod. Econ. 83 (2003) 115–122.
8. Ouyang L. Y., Wu K. S., Yang C. T., A study on an inventory model for non
instantaneous deteriorating items with permissible delay in payments, Comp.
Ind. Eng. 51 (2006) 637–651.
9. Huang Y. F., An inventory model under two levels of trade credit and limited storage
space derived without derivatives, Appl. Math. Model. 30 (2006) 418 436.
10. Huang Y.F., Economic order quantity under conditionally permissible delay in
payments, Euro. J. Oper. Res. 176 (2007) 911– 924.
11. Huang Y. F., Optimal retailer’s replenishment decisions in the EPQ model
under two levels of trade credit policy, Euro. J. Oper. Res. 176 (2007) 1577–1591.
12. Das B., Maity K., Maiti M., A two warehouse supply-chain model under
possibility/ necessity/credibility measures, Math. Comp. Model. 46 (2007) 398–409.
13. Niu B., Xie J. X., A note on Two-warehouse inventory model with Deterioration
under FIFO dispatch policy, Euro. J. Oper. Res. 190 (2008) 571-577.
14. Rong M., Mahapatra N. K., Maiti M., A two warehouse inventory model for a
deteriorating item with partially/fully backlogged shortage and fuzzy lead time,
Euro. J. Oper. Res. 189 (2008) 59–75.
15. Dey J. K., Mondal S. K., Maiti M., Two storage inventory problem with
dynamic demand and interval valued lead-time over finite time horizon under
inflation and time-value of money, Euro. J. Oper. Res. 185 (2008) 170–194.
16. Hsieh T. P., Dye C. Y., Ouyang L.Y., Determining optimal lot size for a two
warehouse system with deterioration and shortages using net present value,
Euro. J. Oper. Res. 191 (2008) 182-192.
17. Maiti M. K., Fuzzy inventory model with two warehouses under possibility
measure on fuzzy goal, Euro. J. Oper. Res. 188 (2008) 746–774.
18. Jaggi C. K., and Verma P., Joint optimization of price and order quantity with
shortages for a two-warehouse system, Top (Spain), 16 (2008) 195-213.
19. Sana S. S., Chaudhuri K. S., A deterministic EOQ model with delays in
payments and price-discount offers, Euro. J. Oper. Res.184 (2008) 509–533.
20. Huang Y. F., Hsu K. H., An EOQ model under retailer partial trade credit
policy in supply chain, Int. J. Prod. Econ. 112 (2008) 655–664.
21. Ho C. H., Ouyang L.Y., Su C. H., Optimal pricing, shipment and payment
policy for an integrated supplier–buyer inventory model with two-part trade
credit, Euro. J. Oper. Res. 187 (2008) 496–510.
22. Lee C. C., Hsu S. L., A two-warehouse production model for deteriorating
inventory items with time-dependent demands, Euro. J. Oper. Res. 194 (2009)
700–710.
23. Jaggi C. K., Aggarwal K. K., Verma P., Inventory and pricing strategies for
deteriorating items with limited capacity and time proportional backlogging
rate, Int. J. Oper. Res. 8(3) (2010) 331-354.
24. Jaggi C. K., Khanna A., Supply chain models for deteriorating items with
stock-dependent consumption rate and shortages under inflation and
permissible delay in payment, Int. J. Math. Opera. Res. 2(4) (2010) 491-514.
25. Jaggi C. K., Kausar A., Retailer’s ordering policy in a supply chain when demand
is price and credit period dependent, Int. J. Strat. Dec. Sci. 2(4) (2011) 61-74.
26. Bhunia A. K., Shaikh A. A., A two warehouse inventory model for deteriorating
items with time dependent partial backlogging and variable demand dependent on
marketing strategy and time, International Journal of Inventory Control and
Management, 1 (2011), 95-110.
27 Bhunia A. K., Pal P., Chattopadhyay S., Medya B. K., An inventory model of
two-warehouse system with variable demand dependent on instantaneous
displayed stock and marketing decisions via hybrid RCGA, Int. J. Ind. Eng.
Comput. 2(2) (2011) 351-368.
28. Jaggi C. K., Khanna A., Verma P., Two-warehouse partially backlogging
inventory model for deteriorating items with linear trend in demand under
inflationary conditions, Int. J. Syst. Sci. 42(7) (2011) 1185-1196.
29. Jaggi C. K., Mittal M., Retailer’s ordering policy for deteriorating items with
initial inspection and allowable shortages under the condition of permissible
delay in payments, Int. J. Appl. Ind. Eng. 1(1) (2012) 64-79.
30. Yang H. L., (2012), ‘Two-warehouse partial backlogging inventory models with
three-parameter weibull .distribution deterioration under inflation’ International
Journal of Production Economics, 138, 107-116.

31. Bhunia A. K., and Shaikh A. A., Maiti A. K., Maiti M., A two warehouse
deterministic inventory model for deteriorating items with a linear trend in time
dependent demand over finite time horizon by Elitist Real-Coded Genetic Algorithm,
International Journal Industrial Engineering and Computations, 4(2013), 241-258
32. Bhunia A. K., Shaikh A. A., Gupta R. K., A study on two-warehouse partially
backlogged deteriorating inventory models under inflation via particle swarm
optimization, International Journal of System Science. (to appear) 2013.
33. Yang H. L., Chang C. T., A two-warehouse partial backlogging inventory model for
deteriorating items with permissible delay in payment under inflation’, Applied
Mathematical Modelling, 37(2013), 2717-2726.
34. Chung K. J., Huang T. S., The optimal retailer’s ordering policies for
deteriorating items with limited storage capacity under trade credit financing,
Int. J. Prod. Econ. 106 (2007) 127–145.
35. Liang Y., Zhou F., A two-warehouse inventory model for deteriorating items
under conditionally permissible delay in payment, Appl. Math. Model. 35
(2011) 2221-2231.
36. Bhunia A. K., Jaggi C. K., Sharma A., Sharma R., A two warehouse inventory
model for deteriorating items under permissible delay in payment with partial
backlogging, Applied Mathematics and Computation, 232(2014), 1125-1137.
37. Shah N. H., Patel A. R., Lou K. R., Optimal ordering and pricing policy for
price sensitive stock-dependent demand under progressive payment scheme,
International Journal Industrial Engineering Computations, 2(2011), 523-532.

Journal Vol – 12 No -2, January 2018

Development of a RGB-based model for predicting SPAD value and chlorophyll content of betel leaf (Piper betleL.)

Authors:

Amar Kumar Dey, P. Guha, Manisha Sharma, M.R. Meshram

DOI NO:

https://doi.org/10.26782/jmcms.2018.04.00001

admin May 6, 2018

Abstract:

Three different techniques were assessed for estimation of chlorophyll content from each leaf samples. In the first method SPAD-502 hand held meter was used to estimate SPAD values of leaf. In the second method flatbed scanner was used to acquire the sample leaf image for estimation of SPAD and Chlorophyll concentration. The third method was biochemical based spectrophotometric approach for estimating chlorophyll concentration.Extensive statistical analysis based on Information criterion theory was made for selection and evaluation of proposed RGB image processing based color model for estimating SPAD value and chlorophyll concentration. The resultsrevealed that image processing techniques has good potential in estimating SPAD and chlorophyll concentration values relative to biochemical method using spectroscopic technique and SPAD meter reading. The present study also pointed out the fact that for the SPAD value and chlorophyll concentration estimation using proposed image processing technique gives better results with dual color band as compared to single or triple color band.Furthermore, estimated SPAD value and chlorophyll concentration differ from Image processing technique (photometric) measurement of leaf samples by 5.538% (p<0.001) and 0.0185% (p<0.001), respectively.

Keywords:

Chlorophyll,SPAD,RGB,mage processing, AIC,BIC,

Refference:

I.Adkison, M. D., Peterman, R. M., Lapointe, M. F., Gillis, D. M., and Korman, J. (1996). Alternative models of climatic effects on sockeye salmon, Oncorhynchusnerka, productivity in Bristol Bay, Alaska, and the Fraser River, British Columbia.Fisheries Oceanography,5(3‐4), 137-152.

II.Afshari-Jouybari, H., and Farahnaky, A. (2011). Evaluation of Photoshop software potential for food colorimetry.Journal of Food Engineering,106(2), 170-175.

III.Bannari, A., Khurshid, K., Staenz, K., and Schwarz, J. (2006). Wheat Crop Chlorophyll Content Estimation From Ground-Based Reflectance Using Chlorophyll Indices, IEEE International Symposium on Geoscience and Remote Sensing, Denver, CO, 2006, pp. 112-115. doi: 10.1109/IGARSS.2006.34.

IV.Curran, P. J., Dungan, J. L., and Gholz, H. L. (1990). Exploring the relationship between reflectance red edge and chlorophyll content in slash pine. Tree Physiol., 7, 33–48.

V.Dey, A. K., Sharma, M., and Meshram, M. R. (2016a). Image Processing Based Leaf Rot Disease, Detection of Betel Vine (Piper BetleL.).Procedia Computer Science,85, 748-754.

VI.Dey, A. K., Sharma, M., and Meshram, M. R. (2016b). An Analysis of Leaf Chlorophyll Measurement Method Using Chlorophyll Meter and Image Processing Technique.Procedia Computer Science,85, 286-292.

VII.Filella, I., Serrano, I., Serra, J., and Peñuelas, J. (1995) Evaluating wheat nitrogen status with canopy relfectance indices and discriminant analysis. Crop Sci., 35, 1400–1405.

VIII.Gitelson, A. A., Gritz, Y., and Merzlyak, M. N. (2003). Relationships between leaf chlorophyll content and spectral reflectance and algorithms for non-destructive chlorophyll assessment in higher plant leaves.Journal of plant physiology,160(3), 271-282. http://dx.doi.org/10.1078/0176-1617-00887.

IX.Glatting, G., Kletting, P., Reske, S. N., Hohl, K., and Ring, C. (2007). Choosing the optimal fit function: comparison of the Akaike information criterion and the F-test.Medical physics,34(11), 4285-4292.

X.Graeff, S., Pfenning, J., Claupein, W., and Liebig, H. P. (2008). Evaluation of image analysis to determine the N-fertilizer demand of broccoli plants (Brassica oleraceaconvar. botrytis var. italica).Advances in optical technologies,2008, 8.doi:10.1155/2008/359760.

XI.Guendouz, A., Guessoum, S.,Maamari, K., and Hafsi, M. (2012). Predicting the efficiency of using the RGB (Red, Green and Blue) reflectance for estimating leaf chlorophyll content of Durum wheat (Triticum durum Desf.) genotypes under semi arid conditions.American-Eurasian Journal of Sustainable Agriculture, 102-107.Guha, P. (2006). Betel leaf: the neglected green gold of India.J Hum Ecol, 19 (2), 87-93.

XII.Gupta, S. D., Ibaraki, Y., and Pattanayak, A. K. (2013). Development of a digital image analysis method for real-time estimation of chlorophyll content in micropropagated potato plants.Plant biotechnology reports,7(1), 91-97.

XIII.Hu, H., Liu, H. Q., Zhang, H., Zhu, J. H., Yao, X. G., Zhang, X. B., and Zheng, K. F. (2010, December). Assessment of chlorophyll content based on image color analysis, comparison with SPAD-502. IEEE, 2nd International Conference onInformation Engineering and Computer Science (ICIECS), 1-3.

XIV.Kawashima, S., and Nakatani, M. (1998). An algorithm for estimating chlorophyll content in leaves using a video camera.Annals of Botany,81(1), 49-54.

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Journal Vol – 13 No -1, April 2018

Families of exact traveling wave solutions to the space time fractional modified KdV equation and the fractional Kolmogorov-Petrovskii-Piskunovequation

Authors:

M. Hafiz Uddin, M. Ali Akbar, Md. Ashrafuzzaman Khan, Md. Abdul Haque

DOI NO:

https://doi.org/10.26782/jmcms.2018.04.00002

admin May 6, 2018

Abstract:

Thespace time fractional modified KdV equation and fractional Kolmogorov-Petrovskii-Piskunov(KPP)equation models the unidirectional and bidirectional waves on shallow water surfaces, long internal wavein a density-stratified ocean, ion acoustic waves in plasma, acoustic waves on a crystal lattice. The fractional derivatives are defined in the modified Riemann-Liouville sense.In this article, we obtain exact solution of these equations by means of the recently established two variables(G1/G,1/G)-expansion method.The solutions are obtained in the form of hyperbolic, trigonometric and rational functions involving parameters. When the parameters are assigned particular values, the solitary wave solutions are generated from the traveling wave solutions. The method indicates that it is easy to implement,computationally attractive and is the general form of theoriginal(G1/G)-expansion method.

Keywords:

Exact solution,fractional modified KdVequation,Kolmogorov-Petrovskii-Piskunov equation,modified Remann-Liouville derivative,traveling wave solution,solitary wave solution,

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Journal Vol – 13 No -1, April 2018

A Hybrid Cryptography and Authentication based Security Model for Clustered WBAN

Authors:

Aarti Sangwan, Partha Pratim Bhattacharya

DOI NO:

https://doi.org/10.26782/jmcms.2018.04.00003

admin May 6, 2018

Abstract:

The communication in a clustered WBAN is performed at different levels through multiple nodes and controllers. This kind of multi-level involvement of nodes opens the nodes for security leaks. In this paper, a dual level security is integrated using hybrid cryptography method. A hybrid authentication and cryptography based method is defined for identity and information level security. The hybridization of security for clustered WBAN is achieved using RSA and hash key encoder. The RSA is here applied for node to controller for identification and verification whereas SHA is applied for reliable symmetric message encoding for node-to-controller and controller-to-controller communication. The proposed security model is applied in an integrated form to the clustered WBAN network to improve communication reliability. The proposed secure communication model has improved the performance of the network. The simulation is applied on clustered WBANs with different number of WBANs. The comparative simulation results show that the proposed model has effectively improved the packet communication and network life.

Keywords:

Body Area Network,Clustered,Secure, RSA,Hashcode,

Refference:

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II.Ali, A. and Khan, F. A. (2013b). Energy-efficient cluster-based security mechanism for intra-WBAN and inter-WBAN communications for healthcare applications. EURASIP Journal on Wireless Communications and Networking, 2013:216.

III.Al-Janabi, S., Al-Shourbaji, I., Shojafar, M. and Shamshirband, S. (2017). Survey of main challenges (security and privacy) in wireless body area networks for healthcare applications. Egyptian Informatics Journal, 18(2), 113-122.

IV.Alsadhan,A.,andKhan, N. (2013). An LBP Based Key Management for Secure Wireless Body Area Network (WBAN), IEEE 14th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing, Honolulu, HI, 2013,pp. 85-88.

V.Alshamsi, A. Z., and Barka, E. S. (2017). Implementation of energy efficient/lightweight encryption algorithm for wireless body area networks,” In Proc IEEE International Conference on Informatics, Health & Technology (ICIHT), Riyadh, 2017, pp.1-7.

VI.Challa, S., Das, A. K., Odelu, V., Kumar, N., Kumari, S., Khan, M. K., and Vasilakos, A. V. (2017). An efficient ECC-based provably secure three-factor user authentication and key agreement protocol for wireless healthcare sensor networks. Computers & Electrical Engineering.

VII.Drira, W., Renault, E. and Zeghlache, D. (2012). A Hybrid Authentication and Key Establishment Scheme for WBAN, IEEE 11th International Conference on Trust, Security and Privacy in Computing and Communications, Liverpool, 2012, pp. 78-83.

VIII.Fan, C., Wang, J., Huang, J., Tseng, Y., Juang, W., and Kikuchi, H. (2016). Flexible Authentication Protocol with Key Reconstruction in WBAN Environments, 6th International Conference on IT Convergence and Security (ICITCS), Prague, 2016, pp. 1-5.

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XIV.Liu, J., Li, Q., Yan, R., and Sun, R. (2015). Efficient authenticated key exchange protocols for wireless body area networks. EURASIP Journal on Wireless Communications and Networking, 2015:188.

XV.Li, X., Peng, J., Kumari, S., Wu, F., Karuppiah, M., and Choo, K. R. (2017). An enhanced 1-round authentication protocol for wireless body area networks with user anonymity. Computers & Electrical Engineering, 61, 238-249.

XVI.Li, Z., and Wang, H. (2016). A key agreement method for wireless body area networks. IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS), San Francisco, CA, 2016, pp. 690-695.

XVII.Li, Z., Wang, H., Daneshmand, M., and Fang, H. (2017). Secure and efficient key generation and agreement methods for wireless body area networks, IEEE International Conference on Communications (ICC), Paris, 2017, pp. 1-6.

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XIX.Masdari, M., Ahmadzadeh, S., and Bidaki, M. (2017). Key management in wireless Body Area Network: Challenges and issues. Journal of Network and Computer Applications, 91, 36-51.

XX.Mehmood, A., Umar, M. M., and Song, H. (2017). ICMDS: Secure inter-cluster multiple-key distribution scheme for wireless sensor networks. Ad Hoc Networks, 55, 97-106.

XXI.Mukhtar, T. and Chaudhary, S. (2016). Energy efficient cluster formation and secure data outsourcing using TEOSCC and ECDH-IBT technique in WBAN. International Conference on Wireless Communications, Signal Processing and Networking (WiSPNET), Chennai, 2016, pp. 596-602.

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XXVII.Wei, F., Vijayakumar, P., Shen, J., Zhang, R., and Li, L. (2018). A provably secure password-based anonymous authentication scheme for wireless body area networks. Computers & Electrical Engineering, 65, 322-331.