Dr. Bani Singh

Professor of Mathematics and Computer Applications and Head, Department of Mathematics

Email : bani.singh@jiit.ac.in

 

 

 

 

Education

M.Sc., Ph.D. (IIT Roorkee)

Biography

Teaching and Research experience of more than 40 year at University of Roorkee.

Interest Area(s)

Computational Methods, FEM, Computer Graphics, Vibrations, CFD

Publication

International Journal:

Prasad, B., Singh, B. and Sahni, R., “Some approximate fixed point theorems”, Int. Journal of Math. Analysis, 3(5), 203-210, 2009. [ Indexed in SCOPUS ]

Singh, B., Bharadwaj, A. and Ali, R., “A Wavelet Method for solving Singular Integral Equation of MHD”, Appl. Math and Computation, 214, 271-279, 2009. [ Impact factor 0.961]

Singh, B. and Hassan, S.M., “Transverse vibration of triangular plates with arbitrary thickness variation and various boundary conditions”, Journal of Sound and Vibration (Academic Press), 214(1), 29-55, 1998. [ Indexed in SCOPUS, Impact factor 1.364]

Singh, B. and Hassan, S.M., “Transverse vibration of circular plate with arbitrary thickness variation”, Int. J. Mech. Sci. (Pergamon Press), 40(11), 1089-1104, 1998. [ Indexed in SCOPUS, Impact factor 1.077 ]

Singh, B. and Saxena, V., “Transverse vibration of skew plates with variable thickness”, Journal of Sound and Vibration (Academic Press), 206(1), 1-13, 1997. [ Indexed in SCOPUS, Impact factor 1.364]

Singh, B. and Saxena, V., “Authors’ Reply: LETTERS TO THE EDITOR”, Journal of Sound and Vibration (Academic Press), 197(1), 135, 1996. [ Indexed in SCOPUS,             Impact factor 1.364]

Wiley), 12, 631-641, 1996. [ Indexed in SCOPUS,              Impact factor 0.756]

Singh, B. and Saxena, V., “Transverse vibration of rectangular plate with bidirectional thickness variation”, Journal of Sound and Vibration (Academic Press), 198 (1), 51-65, 1996. [ Indexed in SCOPUS, Impact factor 1.364]

Singh, B., Hassan, S.M. and Lal, J., “Some numerical experiments on high accuracy fast direct finite difference methods for elliptic problems”, Communications in Numerical Methods in Engineering (John

Singh, B. and Saxena, V., “Transverse vibration of triangular plates with variable thickness”, Journal of Sound and Vibration (Academic Press), 194(4), 471-496, 1996. [ Indexed in SCOPUS, Impact factor 1.364]

Singh, B. and Saxena, V., “Axisymmetric vibration of a circular plate with exponential thickness variation”, Journal of Sound and Vibration (Academic Press), 192(1), 35-42, 1996.  [ Indexed in SCOPUS, Impact factor 1.364]

Singh, B. and Saxena, V., “Transverse vibration of a circular plate with unidirectional quadratic thickness variation”, Int. J. Mech. Sci. (Pergamon Press), 38(4), 423-430, 1996. [Indexed in SCOPUS, Impact factor 1.077]

Singh, B. and Saxena, V., “Transverse vibration of a quarter of an elliptical plate with variable thickness”, Int. J. Mech. Sci. (Pergamon Press), 37(10), 1103-1132, 1995. [ Impact factor 1.077 ]

Singh, B. and Saxena, V., “Transverse vibration of a quarter of a circular plate with variable thickness”, Journal of Sound and Vibration (Academic Press), 183(1), 49-67, 1995. [ Indexed in SCOPUS, Impact factor 1.364]

Singh, B. and Saxena, V., “Axisymmetric vibration of a circular plate with double linear variable thickness”, Journal of Sound and Vibration (Academic Press), 179(5), 879-897, 1995. [ Indexed in SCOPUS, Impact factor 1.364]

Singh, B. and Chakraverty S., “Boundary characteristic orthogonal polynomials in numerical approximation”, Communications in Numerical Methods in Engineering (John Wiley), 10, 1027-1043, 1994. [ Impact factor 0.756]

Singh, B. and Chakraverty S., “Use of characteristic orthogonal polynomials in two dimensions for transverse vibrations of elliptic and circular plates with variable thickness”, Journal of Sound and Vibration (Academic Press), 173(3), 289-299, 1994. [ Indexed in SCOPUS, Impact factor 1.364]

Singh, B. and Chakraverty S., “Flexural vibration of skew plates using boundary characteristic orthogonal polynomials in two variables”, Journal of Sound and Vibration (Academic Press), 173(2), 157-178, 1994. [ Indexed in SCOPUS,  Impact factor 1.364]

Singh, B. and Chakraverty S., “Authors’ Reply to Drs. Laura and Ercoli’s Letters”, Journal of Sound and Vibration (Academic Press), 164(1), 191-192, 1993. [ Indexed in SCOPUS, Impact factor 1.364]

Singh, B. and Chakraverty S., “Transverse vibration of annular, circular and elliptic plates using characteristic orthogonal polynomials in two dimensions”, Journal of Sound and Vibration (Academic Press) 162(3), 537-546, 1993. [ Indexed in SCOPUS, Impact factor 1.364]

Singh, B. and Chakraverty S., “Transverse vibration of triangular plates using characteristic orthogonal polynomials in two variables”, Int. J. Mech. Sci. (Pergamon Press) 34 (12), 947-955, 1992.[ Indexed in SCOPUS, Impact factor 1.077 ]

Singh, B. and Chakraverty S., “Transverse vibration of circular and elliptic plates with quadratically varying thickness”, Appl. Meth. Modelling (Butterworth- Heinemann) 16, 269-272, 1992.  [ Indexed in SCOPUS, Impact factor 0.931]

Singh, B. and Chakraverty S., “On the use of orthogonal polynomials in Rayleigh-Ritz method for the study of transverse vibrations of elliptic plates”, Computers and Structures, (Pergamon Press) 43(3), 419-443, 1992.[ Indexed in SCOPUS, Impact factor 1.223]

Singh, B. and Chakraverty S., “Transverse vibration of simply-supported elliptic and circular plates using boundary characteristic orthogonal polynomials in two variables”, Journal of Sound and Vibration (Academic Press) 152(1), 149-155, 1992. [ Indexed in SCOPUS, Impact factor 1.364]

Gupta, A. K., Kumar, S. and Singh, B., “One dimensional mathematical modelling of enclosure fire dynamics”, Fire and Materials (John Wiley), 12, 51-60, 1988. [ Impact factor 0.96]

Singh, B. and Chakraverty S., “Transverse vibration of completely free elliptic and circular plates using orthogonal polynomials in Rayleigh-Ritz method”, Int. J. Mech. Sci. (Pergamon Press) 33(9), 741-751, 1991. [ Indexed in SCOPUS, Impact factor 1.077 ]

Singh, B. and Agarwal, P. K., “An alternating direction implicit method for magnetohydrodynamic heat transfer in cylindrical geometry with discontinuity in wall temperature”, Int. J. Heat and Fluid Flow (Butterworth and Co.) 7(4), 307-312, 1986. [ Impact factor 1.335]

 Singh, B. and Tyagi, D.K., “Transverse vibration of an elliptic plate with variable thickness”, Journal of Sound and Vibration, 99(3), 379-391, 1985. [ Impact factor 1.364]

Singh, B. and Agarwal, P. K., “Numerical solution of a singular integral equation appearing in Magnetohydrodynamics”, J. Appl. Maths. Phys. (ZAMP), (Birkhauser Verlag Basel) 35, 760-770, 1984.

Singh, B. and Lal, J., “Finite element method for unsteady MHD flow through pipes with arbitrary wall conductivity”, Int. J. Numer. Meth. Fluids (John Wiley and Sons), 4(3), 291-302, 1984. [ Impact factor 0.916]

Singh, B. and Lal, J., “Finite element method for MHD channel flow with arbitrary wall conductivity”, J. Math. Phys. Sc., 18(5), 501-516, 1984. [ Impact factor 1.085]

Singh, B. and Lal, J., “Effect of Magnetic field orientation and wall conductivity on MHD channel flows using finite element methods”, Comp. Meth. Appl. Mech. Engg. (Elsevier North-Holland), 40, 159-170, 1983.  [ Impact factor 0.997]

Singh, B. and Lal, J., “Heat transfer for MHD flow through a rectangular pipe with discontinuity in wall temperature”, Int. J. Heat Mass Transfer, (Pergamon Press), 25(10), 1523-1529, 1982. [ Impact factor 1.894]

Singh, B. and Lal, J., “Finite element method in magnetohydrodynamic channel flow problems”, Int. J. Numer. Math. Engg. (John Wiley and Sons), 18, 1104-1111, 1982. [ Impact factor 2.229]

Singh, B. and Lal, J., “Temperature distribution for MHD flow between coaxial cylinders with discontinuity in wall temperature”, Appl. Sc. Research (Martinus Nijhoff, London), 35, 67-83, 1979.

Gupta S.C. and Singh, B., “Unsteady Magnetohydrodynamic flow in a circular pipe under transverse magnetic field”, Phys. Fluids, 13(2), 1970. [ Impact factor 1.738]

 

International Conference:

Gupta, A. K., Kumar, S., and Singh, B., “Plume analysis above finite size fire sources”, Fire Safety Science, Proc. 3rd Int. Symposium, Edinberg, July 8-12, 445-454, 1991.

Kumar, S., Gupta, A. K., and Singh, B., “Transient velocity and temperature profiles in the plume above a circular fire source in an enclosure”, Proc. 5th AIAA/ASME Thermophysical and Heat Transfer Conference, K-11 Session, Seattle, W. A., June 18-20, 1990.

Singh, B. and Lal, J., “Steady and unsteady finite element solution of MHD channel flow problems, Finite Element Analysis in Fluids”, Proc. 7th Int. Conf. on Finite Element Methods in Flow Problems, April 3-7, Huntsville, U. S. A. 1989.

Kumar, S., Gupta, A. K., and Singh, B., “Mathematical Modelling of enclosure fire dynamics-one dimensional model”, Proc. 4th Int. Fire Con., INTERFLAM 88, Cambridge, U. K., March 22-24, 1988.

 

National Journal:

Singh, B., Pratibha, Kamal and Dwivedi, A., “On the use of Symbolic Computations in Geosciences”, Current Science (Indian Academy of Sciences), 76(8), 1999. [ Indexed in SCOPUS,  Impact factor 0.774]

Singh, B., “Computer Aarekhiki Tatha Iske Anuprayog (in Hindi)”, Vigyan Garima Sindhu (Vigyanik Tatha Takniki Shabdawali Aayog, MHRD), 28, 12-47, 1999.

Singh, B. and Chakraverty S., “Transverse vibration of circular and elliptic plates with variable thickness”, Ind. J. Pure Appl. Maths (INSA), 22(9), 787-803, 1991. [ Impact factor 0.365]

Singh, B. and Kumar, R., “Brachistochrone problem in nonuniform gravity”, Ind. J. Pure Appl. Maths (INSA), 19(6), 575-585, 1988. [ Impact factor 0.365]

Singh, B. and Goel, S., “Plotting Magnetic Lines of force using a computer”, Ind. J. Tech. (CSIR) 26, 115-119, 1988.

Singh, B. and Agarwal, P. K., “ADI method for MHD pipe flow with conducting walls parallel to external magnetic field”, Proc. Ind. Nat. Sc. Acad. (INSA) 53A(6), 768-774, 1987.

Singh, B., Lal, J., and Agarwal, P. K., “Finite element method for unsteady MHD channel flow with arbitrary wall conductivity and orientation of applied magnetic field”, Ind. J. Pure Appl. Maths (INSA), 16(11), 1390-1398, 1985. [ Impact factor 0.365]

 Singh, B. and Lal, J., “Numerical and analytical solutions of heat transfer in Poiseuille flow with discontinuity in the wall temperature”, Ind. J. Pure Appl. Maths (INSA), 16(12), 1529-1540, 1985. [ Impact factor 0.365]

Singh, B. and Lal, J., “Numerical solution of unsteady MHD flow in a rectangular channel”, Ind., J. Tech., (CSIR), 22, 448-452, 1984.

Singh, B. and Lal, J., “Kantorovich method in magnetohydrodynamic flow problems through channels”, Ind. J. Pure Appl. Maths (INSA), 15(9), 1048-1063, 1984.  [ Impact factor 0.365]

Singh, B. and Lal, J., “Quadratic finite elements in steady MHD channel flows with nonconducting walls”, Ind. J. Pure Appl. Maths. (INSA), 14(12), 1464-1473, 1983.  [ Impact factor 0.365]

Singh, B. and Lal, J., “The numerical and exact solutions of MHD flow through a pipe whose section is a sector”, Ind. J. Pure Appl. Maths. (INSA), 14(1), 146-158, 1983. [ Impact factor 0.365]

Singh, B. and Lal, J., “A fast direct solution of MHD flow through a rectangular pipe”, Ind., J. Tech., (CSIR), 20, 163-167, 1982.

Singh, B. and Lal, J., “MHD axial flow in a triangular pipe under transverse magnetic field parallel to a side of the triangle”, Ind., J. Tech., (CSIR), 17, 184-189, 1979.

Singh, B. and Lal, J., “Magnetohydrodynamic axial flow in a triangular pipe under transverse magnetic field”, Ind. J. Pure Appl. Maths. (INSA), 9(2), 101-115, 1978. [ Impact factor 0.365]

Prasad, C. and Singh, B., “Rayleigh-Taylor instability in presence of horizontal and vertical magnetic fields”, Pro. Nat. Acad. Sci., 42(B), I 1972

Gupta S.C. and Singh, B., “Unsteady Magnetohydrodynamic flow in a rectangular channel under transverse magnetic field”, Ind. J. Pure Appl. Maths. (INSA), 3(6), 1038-1047, 1972.     [ Impact factor 0.365]

Singh, B., and Gupta S.C., “Heat Transfer by laminar flow in a region between two coaxial cylinders when a radial magnetic field exista in the interspace”, U. O. R. Res., J., Vol. 10, 1968.

Singh, B., “Laminar steady-state magnetohydrodynamic flow in an annular channel with suction and injection at the cylindrical boundaries”, U. O. R. Res., J., Vol. 9, 1966.

 

National Conference:

Singh, B. and Jain, S. P., “Temperature prediction inside buildings exposed to solar radiation from the roof under hot-dry climate”, CACM, Roorkee, March (11-13) 1986.

Singh, B. and Goel, R., “Transverse vibration of an elliptic plate with variable thickness”, Proceedings, Workshop on Solid Mechanics, March 13-16, Deptt. of Maths, U.O.R., 19-27, 1985.

Singh, B., “Application of Computer Graphics to three dimensional plottings, Proceedings”, Workshop on Solid Mechanics, March 13-16, Deptt. of Maths, U.O.R., 189-196, 1985.

Singh, B., “Development of Computer Graphics and Animation Software for Free Vibration of Plates”, CMAEI (Conference on Mathematics and its Applications in Engineering and Industry)-96 (December 16 -18), Narosa, 596-605, 1997.

Singh, B. and Saxena, V., “Some numerical experiments on vibration of skew plate with variable thickness”, ISIAM Conference, Jamia Millia Islamia, New Delhi, April 6-8, 1996.

Singh, B. and Saxena, V., “Transverse vibration of a clamped circular plate with exponential thickness variation”, ISME Conference, Deptt. of Mech. Engg., U. O. R.,  611-616, 1995.

Singh, B. and Saxena, V., “Free flexural axisymmetric transverse vibration of a circular plate with mixed linear variable thickness”, Proc. 1st Annual Con. Of Indian Society of Industrial and Applied Mathematics (ISIAM-92), Deptt. of Mathematics, U. O. R., Feb. 4-7, 1-7, 1993.

Singh, B., “Some recent trends in Computer-Aided Design and Graphics”, Proc. 1st Annual Con. Of Indian Society of Industrial and Applied Mathematics (ISIAM-92), Deptt. Of Mathematics, U. O. R., Feb. 4-7, 1-7, 1993.

Singh, B., “Finite element modeling of MHD channel flow problems” CACM, Roorkee, March (11-13) 1986.

Singh, B. and Lal, J., “Some applications of Computer Graphics”, CACM, Roorkee, March (11-13) 1986.

Singh, B. and Lal, J., “A fast direct solution of Laplace, Poisson, Helmholtz and related equations over rectangular and sectorial domains”, CACM, Roorkee, March (11-13) 1986.

Professional Projects / Professional Achievements

Life member of Indian Society of Industrial and Applied Mathematics (ISIAM)

Completed one AICTE Project on Computer Animation. Guided six Ph.Ds and more than 35 M.Tech, M.Phil dissertations.

Reviewed a large number of papers in national and international journals of Sound and Vibrations, Academic Press UK.

Examined a large number of Ph.D. Theses and Dissertations in the University of Roorkee and Several other Institutions including the IITs.

National fellowship holder right up to M. Sc.

Best student award and a gold medal for the session 1963–1964.

Several awards of books and medals for standing first in the class.

Took active part in debates and other extra curricular activities.

Favorite game is badminton.

Worked as O.C. Maintenance, O.C. Mechanics Lab, O.C. Computation Lab etc.

Member of Several Committees at the Department as well as University level.

Modified and introduced a large number of courses.

Completed one AICTE project on Physical modeling of vibration problems.

Worked in various capacities, in workshops, seminars and conferences held by the department including  editor and organizing secretary.

Khosla Award for outstanding research work awarded jointly.