Archive

Abstract:

 In the present paper it is shown that shape invariance is not a necessary condition for exact solvability of a potential in Quantum mechanics .Our contention is established by considering Eckart and Morse II potentials.

Keywords:

Exact solvability,Shape independence,Eckart Potential,Morse II Potential,

Refference:

1) Cooper F., Ginocchio J N and Khare A 1987, Phys .Rev .D 36, 2458
2) Genedenshtein, L. 1983, JETP Lett 38, 356 .
3) Ginocchio, J. N. 1985 Ann.Phys 159, 467.
4) Ter Haar, D. 1960 Problems in quantum mechanics (Infosearch, London, 1960).
5) Eckart, C. 1930 , Phys Rev 35, 1303 .
6) Morse, P. M. 1929 Phys Rev 34, 57.
7) Dutt, R. Khare, A. Sukhatme 1986 Phys let B 181, 295 .
8) Cooper, F. and Freedman, B. 1983 Ann.Phys 146, 262.
9) Feynmam, R. P. 1939 Phys Rev 56, 340.

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Abstract:

In this paper, the similarity solution of natural convective laminar boundary layer flow around a vertical slender body with suction and blowing has been investigated. Firstly, the governing boundary layer partial differential equations have been made dimensionless and then simplified by using Boussinesq approximation. Secondly, similarity transformations are introduced on the basis of detailed analysis in order to transform the simplified coupled partial differential equations into a set a ordinary differential equations. The transformed complete similarity equations are solved numerically by using Fourth order Runge-Kutta method as well as MATLAB. Finally, the flow phenomenon has been characterized with the help of obtained flow controlling parameters such as suction parameter, buoyancy parameter, Prandtl number, body-radius parameter and other driving parameters. The effects of dimensionless parameters on the velocity and temperature distributions are presented graphically. It is found that a small suction or blowing can play a significant role on the patterns of flow and temperature fields. 

Keywords:

Similarity solution,natural convective,vertical slender body,suction or blowing,

Refference:

1)   Clarke, J. F. Riley, N. : Natural convection induced in a gas by the presence of a hot porous horizontal surface, Q. J. Mech. Appl. Math., 28, 373–396, 1975.

2)   Schneider, W. : A similarity solution for combined forced and free convection flow over a horizontal plate, Int. J. Heat Mass Transfer, 22, 1401–1406, 1979.

3)   Merkin, J. H. Ingham, D. B.: Mixed convection similarity solutions on a horizontal surface, ZAMP, 38, 102–116, 1987.

4)   Ramanaiah, G. Malarvizhi, G. and Merkin, J. H.: A unified treatment of mixed convection on a permeable horizontal plate, Wäfirme-und Stoffübertragung, 26, 187–192, 1991.

5)   Deswita, L. Nazar, R. Ahmad R. Ishak, A and Pop, I.: Similarity Solutions of Free Convection Boundary Layer Flow on a Horizontal Plate with Variable Wall Temperature, European Journal of Scientific Research,  27(2), 188–198, 2009.

6)   Hossain, M. M. T. and Mojumder, R. : Similarity solution for the steady natural convection boundary layer flow and heat transfer above a heated horizontal surface with transpiration, Int. J.  Appl. Math.  Mech., 6(4), 1–16, 2010.

7)   Hossain, M. M. T. Mojumder, R. and Hossain, M. A. : Solution of natural convection boundary layer flow above a semi-infinite porous horizontal plate under similarity transformations with suction and blowing, Daffodil International University Journal of Science and Technology, 6(1), 43–51, 2011.

8)   Hossain, M. M. T. Mandal, B. and Hoossain, M. A. : Similarity Solution of Unsteady Combined Free and Force Convective Laminar Boundary Layer Flow about a Vertical Porous Surface with Suction and Blowing, Procedia Engineering, 56,134–140, 2013.

9)   Van Dyke, M. : Free convection from a vertical needle, Problems of Hydrodynamics and Continuum Mechanics (SIAM Publication, Philadelphia, Penn.), 1969.

10) Kuiken, H. K. : The thick free-convective boundary layer along a semi-infinite   isothermal vertical cylinder, ZAMP, 25, 497, 1974.

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Abstract:

EMG is the detection of the electrical activity associated with muscle contraction. It is obtained by measurement of the electrical activity of a muscle during contraction. EMG signals are directly linked to the desire of movement of the person. Robot arms are versatile tools found in a wide range of applications. While the user moves his arm, (EMG) activity is recorded from selected muscles, using surface EMG electrodes. By a decoding procedure the muscular activity is transformed to kinematic variables that are used to control the robot arm. This patent is the  innovative design of a new low-cost series elastic robotic arm. The arm is unique in that it achieves reasonable performance for the envisioned tasks with high DOF. There are numerous dimensions over which robotic arms can be evaluated, such as backlash, payload, speed, bandwidth, repeatability, compliance, human safety, and cost, to name a few. In robotics research, some of these dimensions are more important than others: for grasping and object manipulation, high repeatability and low backlash are important. To develop the articulated  innovative arm design of the robot with high DOF equations were developed for both forward and inverse kinematics. Forward kinematics gives the location of the end effector in the “universe” frame. The inverse kinematics gives the joint angles needed in order for the to the robot arm reach the goal frame. This high DOF based prosthetic arm operates according to EMG database. The EMG signal is obtained for different users for different arm  movements  using signal acquisition system. The EMG signals are used as input to the Microcontroller and converted to digital ones in the comparator. According to these signals the program built in the microcontroller make decisions to control the motors to drive the prosthesis arm.

Keywords:

EMG signals,Robot arm,high DOF,Microcontroller comparator,Prosthetic arm,

Refference:

1)    Eason, G., Noble B. and Sneddon, I. N.  “On certain integrals of Lipschitz-Hankel type involving products of Bessel functions,” Phil. Trans. Roy. Soc. London, vol. A247, pp. 529–551, April 1955.

2)    Maxwell, J. Clerk A Treatise on Electricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, 1892, pp.68–73.

3)    Jacobs, I. S.  and Bean, C. P. “Fine particles, thin films and exchange anisotropy,” in Magnetism, vol. III, G. T. Rado and H. Suhl, Eds. New York: Academic, 1963, pp. 271–350.

4)    Elissa, K. “Title of paper if known,” unpublished.

5)    Nicole, R. “Title of paper with only first word capitalized,” J. Name Stand. Abbrev., in press.

6)    Yorozu, Y.,  Hirano, M., Oka, K. and Tagawa, Y.  “Electron spectroscopy studies on magneto-optical media and plastic substrate interface,” IEEE Transl. J. Magn. Japan, vol. 2, pp. 740–741, August 1987 [Digests 9th Annual Conf. Magnetics Japan, p. 301, 1982].

7)    Young, M. The Technical Writer’s Handbook. Mill Valley, CA: University Science, 1989.

8)    Grepl R. Modelování mechatronických systémů v Matlab/SimMechanics. 1. vyd. Praha: BEN – technická literatura, 2007. 152 pp. ISBN 978-80-7300-226-8.

9)    Mostýn V., Skařupa J. Teorie průmyslových robotů. 1. vyd. Košice: Edícia vedeckej a odbornej literatúry  –  Strojnícka  fakulta  TU  v  Košiciach,  VIENALA  Košice,  2000.  150 pp. ISBN 80-88922-35-6.

10) Carrozza M. C., Massa B., Dario P., Zecca M., Micera S., Pastacaldi P. A two dof finger for a biomechatronic artificial hand. Technol. Health Care, vol. 10, no. 2, 2002, pp. 77–89.

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Abstract:

This theoretical investigation is made in order to get the new exact solitary wave solutions of nonlinear partial differential equations (PDEs).  The well-known Tan-Cot Function method is employed  to obtain the exact solutions of Joseph–Egri equation (TRLW), Sharma–Tasso–Olver equation (STO), mKdV (modified Korteweg-de Vries) equation with additional first order dispersion term,  and KdV (Korteweg-de Vries) equation with additional fifth order dispersion term,.  The results which have been found in this theoretical work could be applicable to understand the characteristics and elastic behavior of nonlinear structures including solitons as well as play an important role in wide range of physical applications

Keywords:

Nonlinear PDEs,Exact solutions,Tan-Cot function method,Joseph–Egri equation,Sharma–Tasso–Olver equation,mKdV equation with additional first order dispersion term,KdV equation with additional fifth order dispersion term, soliton solutions,

Refference:

1) Wazwaz, A.M. “Solitons and periodic solutions for the fifth-order KdV
equation,” App. Math. Lett., vol. 19, pp. 1162-1167, November 2006.
2) Malfliet, W. “Solitary wave solutions of nonlinear wave equations,” Am. J.
Phys., vol. 60, pp. 650-654, February1992.
3) Russel, J.S. Report on Waves, Fourteenth Meeting of the British Association
for the Advancement of Science, New York, 1844, pp. 311-390.
4) Zabusky N.J. and Kruskal, M.D. ‘‘Interaction of solitons in a collision less
plasma and the recurrence of initial states,” Phys. Rev. Lett., vol. 15, pp. 240
243, August 1965.
5) Khater, A.H. Malfliet, W. Callebaut, D.K. and Kamel, E.S. “The tanh method, a
simple transformation and exact analytical solutions for nonlinear reaction
diffusion equations,” Chaos Solitons Fractals, vol. 14, pp. 513-522, August 2002.
6) Wazwaz, A.M. “Two reliable methods for solving variants of the KdV equation
with compact and noncompact structures,” Chaos Solitons Fractals, vol. 28, pp.
454-462, April 2006.
7) El-Wakil S.A. and Abdou, M.A. “New exact travelling wave solutions using
modified extended tanh-function method.” Chaos Solitons Fractals, vol. 31, pp.
840-852, February 2007.
8) Fan, E. ‘‘Extended tanh-function method and its applications to nonlinear
equations,” Phys. Lett. A, vol. 277, pp. 212-218, December 2000.

9) Wazwaz, A. M. “The tanh-function method: Solitons and periodic solutions for
the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations.”
Chaos Solitons and Fractals, vol. 25, pp. 55-63, July 2005.
10) Xia, T.C. Li, B. and Zhang, H.Q. ‘‘New explicit and exact solutions for the
Nizhnik Novikov-Vesselov equation,” Appl. Math. E-Notes, vol. 1, pp. 139
142, 2001.
11) Parkes, E.J. and Duffy, B.R.‘‘An automated tanh-function method for finding
solitary wave solutions to nonlinear evolution equations,” Comput. Phys.
Commun., vol. 98, pp. 288-300, November 1996.
12) Jawad, Anwar J. M. ‘‘New exact solutions of nonlinear partial differential
equations using tan-cot function method,” Studies in Mathematical Sciences,
vol. 5, pp. 13-25, November 2002.
13) Jawad, Anwar J. M. ‘‘New exact solutions of nonlinear partial differential
equations using tan-cot function method,” Studies in Mathematical Sciences,
vol. 5, pp. 13-25, November 2002.
14) Feng, Z.S. ‘‘The first integer method to study the Burgers-Korteweg-de Vries
equation.” J. Phys. A. Math. Gen., vol. 35, pp. 343-349, September 2002.
15) Ding T.R. and Li., C.Z. Ordinary differential equations. Peking: Peking
University Press, 1996.
16) Mitchell A.R. and Griffiths, D.F. The finite difference method in partial
differential equations. John Wiley & Sons, 1980.
17) Yusufoglu E. and Bekir, A. Solitons and periodic solutions of coupled
nonlinear evolution equations by using Sine-Cosine method, Inter. J. Comput.
Math., vol. 83, pp. 915-924, May 2006.
18) Shaikh,A.A.,Mashud, A.H.M., Uddin, M.S. and Khan, M.A-A. (2017) ‘Non-
instantaneous deterioration inventory model with price and stock dependent
demand for fully backlogged shortages under inflation’, Int. J. Business
Forecasting and Marketing Intelligence, Vol. 3, No. 2, pp.152–164.
19) Shaikh,A.A., Mashud, A.H.M., Uddin, M.S. and Khan, M.A-A. (2018) ‘A non-instantaneous inventory model having different deterioration rates with stock and price dependent demand under partially backlogged shortages’, Uncertain Supply Chain Management,Vol. 6.
20) Shaikh,A.A.,Mashud, A.H.M., Uddin, M.S. and Khan, M.A-A. (2017) ‘Non-
instantaneous deterioration inventory model with price and stock dependent
demand for fully backlogged shortages under inflation’, Int. J. Business
Forecasting and Marketing Intelligence, Vol. 3, No. 2, pp.152–164.

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