On Heat Transfer in case of a Viscous Flow
over a Plane Wall with Periodic Suction by
Artificial Neural Network

U. K. Tripathy; S. M. Patel

doi:https://doi.org/10.14445/22315373/IJMTT-V44P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 44 | Number 2 | Year 2017 | Article Id. IJMTT-V44P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V44P519

On Heat Transfer in case of a Viscous Flow over a Plane Wall with Periodic Suction by Artificial Neural Network

U. K. Tripathy, S. M. Patel

Citation :

U. K. Tripathy, S. M. Patel, "On Heat Transfer in case of a Viscous Flow over a Plane Wall with Periodic Suction by Artificial Neural Network," International Journal of Mathematics Trends and Technology (IJMTT), vol. 44, no. 2, pp. 94-99, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V44P519

Abstract

This paper shows that the problem of heat transfer in case of a viscous flow over a plane wall with periodic suction has been studied taking into account the effect of viscous dissipative terms. The solution of the equation of heat balance has been obtained approximately by perturbation method choosing ε, the amplitude of the periodic suction velocity to be perturbation parameter and the artificial neural networks method. The effect of the Prandtl number , Eckert number and Reynold’s number on the correction factor (F) to the rate of heat transfer from the wall has been compared for the both type of solutions. The effect of the parameters on F are exactly same as the numerical calculation of which is the correction to the quasi two-dimensional rate of heat transfer (Nusselt number ) from the wall. The results obtain by artificial neural network (ANN) gives a better approximation then that of the numerical technique and the most important part of this paper is ANN technique can easily be handle with a large number of data in a short time. Hence the ANN model which provides an exact, quick and reliable result than the conventional time consuming numerical method.

Keywords

artificial neural network, back-error propagation, correction to the quasi two-dimensional rate of heat transfer.

References

[1] K. Gersten and J.F. Gros, ZAMP, Vol 25, (1974) 399.
[2] S. Padhi and U.K. Tripathy, Proc. Seminar on Recent advances in applied mathematics and its applications, IIT Kharagpur, May (1978).
[3] J. Freeman and D.M.Skapura, Neural Networks:Algorithms, application, and programming Technique, Addison Wesley, New York, (1991).
[4] N. Bachok, A. Ishak, I. Pop, Unsteady boundary layer flow and heat transfer of a nano fluid over a permeable streaching/shrinking, Int. J. Heat Mass Transf. 55(2012)2102- 2109.
[5] K. Bhattachrya, S. Mulkhopadhyay, G.C. Layek, I. Pop, Effect of thermal radition on micropolar fluid flow and heat transfer a porous shrinking sheet, Int. J. Heat Mass Transf. 55(2012)2945-2952.
[6] A.S. Chethan, G.N. Sekhar, P.G. Siddheshwar, Flow and heat transfer of an exponential stretching sheet in viscoelastic liquid with Navier slip boundary comdition, J.Appl. Fluid Mech. 8(2) (2015)223-229.
[7] R. Cortell, Viscous flow and heat transfer over a nonlinearly stretching sheet, Appl. Math. Comput. 184(2) (2007)864-873.
[8] M.S. Able and N. Mahesha, Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation, Applied Mathematical Modeling, 32(10)(2008)1965-1983.
[9] M.S. Able and M.M. Nandeppanavar, Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with non-uniform heat source/sink, Communications in Nonlinear Science and Numerical Simulation, 14(5) (2009)2120-2131.
[10] M.K. Chowdhury and M.N. Islam, MHD free convection flow of visco-elastic fluid past an infinite vertical porous plate, Heat and Mass Transfer, 36(5)(2000)439-447.
[11] S.K. Khan, M.S. Able and R. Sonth, Visco-elastic MHD flow, heat and mass transfer over a porous stretching sheet with dissipation of energy and stress work, Heat and Mass Transfer, 40(1-2)(2003)47-57.
[12] P.S. Datti, K.V. Prasad, M.S. Able and A. Joshi, MHD viscoelastic flow over a non-isothermal stretching sheet, International Journal of Engineering Science, 42(8- 9)(2004)935-946.
[13] K.V. Prasad, M.S. Able and S.K. Khan, Momentum and heat transfer in visco-elastic fluid flow in a porous medium over a non-isothermal stretching sheet, International Journal of Numerical Methods for Heat and Fluid Flow, 10(8)(2000)786- 801.
[14] K.V. Prasad and K. Vajravelu, Heat transfer in the MHD flow of a power law fluid over a non-isothermal stretching sheet, International Journal of Heat and Mass Transfer, 52(21- 22)(2009)4956-4965.
[15] G.C. Hazarika, and P. Hatimota, Variable viscosity and thermal conductivity on steady free convection heat transfer of micro-polar fluid flow over a porous hot vertical plate with constant heat flux, IJMTT, (2014) Volume-15 Number-1
[16] S.Vijaya Lakshmi, T. Amaranatha Reddy, M. S. Reddy, MHD and radiation effect on heat transfer in a non-Newtonian Maxwell fluid over an unsteady stretching sheet with heat source/sink, IJMTT, (2016) Volume-40 Number-4
[17] P.B.A. Reddy and R. Das, Estimation of MHD boundary layer slip flow over a permeable stretching cylinder in the presence of chemical reaction through numerical and ANN modeling, Engineering Science and Technology, an International Journal, (2016) doi: 10.
[18] M.F. Shahri and A.F. Nezhad, Estimation of the flow and heat transfer in MHD flow of a power law fluid over a porous plate ANNs, Middle East J. Sci. Res. 22(9)(2014)1422-1429
[19] F.W. Meridith and A.A. Griffith, (1955) A.R.C. 2315