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Journal of Engineering Thermophysics

Erschienen in:

01.07.2021

Effect of MHD and Mass Transpiration on a Viscous Liquid Flow past Porous Stretching Sheet with Heat Transfer

verfasst von: P. N. Vinay Kumar, U. S. Mahabaleshwar, N. Swaminathan, G. Lorenzini

Erschienen in: Journal of Engineering Thermophysics | Ausgabe 3/2021

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Abstract

Boundary layer flows of an incompressible conductive fluid past a porous stretching sheet are widely investigated in connection with their applications in chemical and engineering processes involving stretchable materials, like cooling of a molten liquid, extrusion processes, manufacturing of polymer fibers, etc. The flow problem is mathematically modeled into nonlinear partial differential equations governing the momentum and heat transfer in the boundary layer, which are transformed into nonlinear ordinary differential equations via similarity transformations. The analytical solutions for the energy equations are found through transformation of the governing thermal boundary layer problems into confluent hypergeometric differential equations. The temperature profile is analyzed for two types of boundary heating processes: with a prescribed surface temperature (PST) and with a prescribed heat flux (PHF), which are quadratic in nature. The effects of the viscous dissipation term or Eckert number, Prandtl number, inverse Darcy number, and Chandrasekhar number on velocity profiles are analyzed graphically using various plots.

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Fisher, B.G., Extrusion of Plastics, 3rd ed., London: Newnes-Butterworld, 1976.

Sakiadis, B.C., Boundary Layer Behaviour on Continuous Solid Surfaces: I. Boundary Layer Equations for Two-Dimensional and Axisymmetric Flow, AICHE, 1961, vol. 7, pp. 26–28.CrossRef

Sakiadis, B.C., Boundary Layer Behaviour on Continuous Solid Surfaces: II. Boundary Layer Behaviour on Continuous Flat Surfaces, AICHE, 1961, vol. 7, pp. 221–225.CrossRef

Crane, L.J., Flow past a Stretching Plate, Z. Angew Math. Phys. (ZAMP), 1970, vol. 21, pp. 645–647.ADSCrossRef

Pavlov, K.B., Magnetohydrodynamic Flow of an Incompressible Viscous Liquid Caused by Deformation of Plane Surface, Magn. Gidrodin., 1974, vol. 4, pp. 146–147.

Andersson, H.I., MHD Flow of a Viscoelastic Fluid past a Stretching Surface, Acta Mech., 1992, vol. 95, pp. 227–229.MathSciNetCrossRef

Sarpakaya, T., Flow of a Non-Newtonian Liquids in a Magnetic Field, AIChE J., 1961, vol. 7, pp. 324–328.CrossRef

Andersson, H.I. and Dandapat, B.S., Flow of Power Law Fluid over a Stretching Sheet, Stability Appl. Anal. Cont. Media, 1991, vol. 1, pp. 339–347.

Liao, S.J., On the Analytic Solution of Magnetohydrodynamic Flows of Non-Newtonian Fluids over a Stretching Sheet, J. Fluid Mech., 2003, vol. 488, pp. 189–212.ADSMathSciNetCrossRef

10.

Siddheshwar, P.G. and Mahabaleshwar, U.S., Effects of Radiation and Heat Source on MHD Flow of a Viscoelastic Liquid and Heat Transfer over a Stretching Sheet, Int. J. Nonlin. Mech., 2005, vol. 40, p. 807.ADSCrossRef

11.

Nield, D.A. and Bejan, A., Convection in Porous Media, 4th ed., New York: Springer, 2013.CrossRef

12.

Davidson, P., An Introduction to Magnetohydrodynamics, London: Cambridge University press, 2001.CrossRef

13.

Gupta, R.K. and Sridhar, T., Viscoelastic Effect in Non-Newtonian Flows through Porous Media, Rheol. Acta., 1985, vol. 24, pp. 148–151.CrossRef

14.

Vafai, K. and Tien, C.L., Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media, Int. J. Heat Mass Transfer, 1981, vol. 24, pp. 195–203.CrossRef

15.

Ishak, A., Nazar, R., and Pop, I., Mixed Convection Boundary Layers in the Stagnation Point Flow toward a Stretching Vertical Sheet, Meccanica, 2006, vol. 41, no. 5, pp. 509–518.CrossRef

16.

Magyari, E. and Keller, B., Heat and Mass Transfer in the Boundary Layers on an Exponentially Stretching Continuous Surface, J Phys. D: Appl. Phys., 1999, vol. 32, pp. 577–85.ADSCrossRef

17.

Chen, C.K. and Char, M.I., Heat Transfer of a Continuous, Stretching Surface with Suction or Blowing, J. Math. An. Appl., 1988, vol. 135, pp. 568–580.MathSciNetCrossRef

18.

Chaim, T.C., Magnetohydrodynamic Heat Transfer over a Non-Isothermal Stretching Sheet, Acta Mech., 1997, vol. 122, pp. 169–179.CrossRef

19.

Mahabaleshwar, U.S., Nagaraju, K.R., Vinay Kumar, P.N., Baleanu, D., and Lorenzini, G., An Exact Analytical Solution of the Unsteady Magnetohydrodynamics Nonlinear Dynamics of Laminar Boundary Layer due to an Impulsively Linear Stretching Sheet, Cont. Mech. Thermodyn., 2017, vol. 29, no. 2, pp. 559–567.MathSciNetCrossRef

20.

Kelson, N.A. and Desseaux, A., Effect of Surface Conditions on Flow of a Micropolar Fluid Driven by a Porous Stretching Sheet, Int. J. Eng. Sci., 2001, vol. 39, pp. 1881–1897.CrossRef

21.

Kelson, N.A. and Farrell, T.W., Micropolar Flow over Porous Stretching Sheet with Strong Suction or Injection, Int. J. Comm. Heat Mass Transfer, 2001, vol. 28, pp. 479–488.CrossRef

22.

Seddeek, M.A., Effect of Hall and Ion-Slip Currents on Magneto-Micropolar Fluid and Heat Transfer over a Non-Isothermal Stretching Sheet with Suction and Blowing, Proc. Roy. Soc. London A, 2001, vol. 457, pp. 3039–3050.ADSCrossRef

23.

Gupta, P.S. and Gupta, A.S., Heat and Mass Transfer on a Stretching Sheet with Suction or Blowing, Can. J. Chem. Eng., 1977, vol. 55, pp. 744–746.CrossRef

24.

Vinay Kumar, P.N., Mahabaleshwar, U.S., Sakanaka, P.H., and Lorenzini, G., An MHD Effect on a Newtonian Fluid Flow due to a Superlinear Stretching Sheet, J. Eng. Therm., 2018, vol. 27, no. 4, pp. 501–506.CrossRef

25.

Banks, W.H.H., Similarity Solutions of the Boundary Layer Equations for a Stretching Wall, J. Mech. Theor. Appl., 1983, vol. 2, pp. 375–392.ADSMathSciNetMATH

26.

Mahabaleshwar, U.S., Nagaraju, K.R., Vinay Kumar, P.N., and Kelson, N.A., An MHD Navier’s Slip Flow over Axisymmetric Linear Stretching Sheet Using Differential Transform Method, Int. J. Appl. Comp. Math., 2018, vol. 4, no. 1, p. 30.MathSciNetCrossRef

27.

Carragher, P. and Crane, L.J., Heat Transfer on a Continuous Stretching Sheet, J. Appl. Math. Mech. (ZAMM), 1982, vol. 62, pp. 564–565.CrossRef

28.

Liao, S.J. and Pop, I., On Explicit Analytic Solutions of Boundary-Layer Equations about Flows in a Porous Medium or for a Stretching Wall, Int. J. Heat Mass Transfer, 2004, vol. 47, pp. 75–85.CrossRef

29.

Abramowitz, M. and Stegun, I.A., Handbook of Mathematical Functions, New York, USA: Dover Publications, 1972.

30.

Singh, J., Mahabaleshwar, U.S., and Bognar, G., Mass Transpiration in Nonlinear MHD Flow due to Porous Stretching Sheet, Sci. Rep., 2019, vol. 9, p. 18484.ADSCrossRef

31.

Yadav, D., Mahabaleshwar, U.S., Wakif, A., and Chand, R., Significance of the Inconstant Viscosity and Internal Heat Generation on the Occurrence of Darcy-Brinkman Convective Motion in a Couple-Stress Fluid Saturated Porous Medium: An Analytical Solution, Int. Comm. Heat Mass Transfer, 2021, vol. 122, p. 105165.CrossRef

32.

Mahabaleshwar, U.S., Nagaraju, K.R., Vinay Kumar, P.N., and Azese, M.N., Effect of Radiation on Thermosolutal Marangoni Convection in a Porous Medium with Chemical Reaction and Heat Source/Sink, Phys. Fluids, 2020, vol. 32, no. 11, p. 113602.ADSCrossRef

33.

Siddheshwar, P.G. and Mahabaleshwar U.S., Effects of Radiation and Heat Source on MHD Flow of a Viscoelastic Liquid and Heat Transfer over a Stretching Sheet, Int. J. Nonlin. Mech., 2005, vol. 40, pp. 807–820.ADSCrossRef

34.

Mahabaleshwar, U.S., Nagaraju, K.R., Vinay Kumar, P.N., and Kelson N.A., An MHD Navier’s Slip Flow Over Axisymmetric Linear Stretching Sheet Using Differential Transform Method, Int. J. Appl. Comput. Math., 2017, vol. 4, no. 1, p. 30.MathSciNetCrossRef

35.

Mahabaleshwar, U.S., Vinay Kumar, P.N., and Sheremet M., Magnetohydrodynamics Flow of a Nanofluid Driven by a Stretching/Shrinking Sheet with Suction, Springer Plus, 2016, vol. 5, no. 1, p. 901.CrossRef

36.

Mahabaleshwar, U.S., Nagaraju, K.R., Sheremet, M.A., Baleanu, D., and Lorenzini, E., Mass Transpiration on Newtonian Flow over a Porous Stretching/Shrinking Sheet with Slip, Chinese J. Phys., 2020, vol. 63, pp. 130–137.ADSMathSciNetCrossRef

37.

Mahabaleshwar, U.S., Nagaraju, K.R, Vinay Kumar, P.N., Nadagouda, M.N., Bennacer, R., and Sheremet, M.A., Effects of Dufour and Sort Mechanisms on MHD Mixed Convective-Radiative Non-Newtonian Liquid Flow and Heat Transfer over a Porous Sheet, J. Thermal Sci. Engin. Progr., 2020, vol. 16, p. 100459.CrossRef

38.

Mahabaleshwar, U.S., Nagaraju, K.R., Nadagouda, M.N., Bennacer, R., and Baleanu, D., An MHD Viscous Liquid Stagnation Point Flow and Heat Transfer with Thermal Radiation and Transpiration, J. Thermal Sci. Engin. Progr., 2020, vol. 16, p. 100379.CrossRef

Titel: Effect of MHD and Mass Transpiration on a Viscous Liquid Flow past Porous Stretching Sheet with Heat Transfer
verfasst von: P. N. Vinay Kumar
U. S. Mahabaleshwar
N. Swaminathan
G. Lorenzini
Publikationsdatum: 01.07.2021
Verlag: Pleiades Publishing
Erschienen in: Journal of Engineering Thermophysics / Ausgabe 3/2021
Print ISSN: 1810-2328
Elektronische ISSN: 1990-5432
DOI: https://doi.org/10.1134/S1810232821030061

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