Analytical Study of Mixed Convective Flow and Heat Transfer in Vertical Channel Filled with Immiscible Viscous Fluids

Authors

  • Daimi Syeda Mariya Begum Research student at Department of Mathematics, SRTM University, Maharashtra 431606, India
  • Sharadkumar Jagtap HOD Mathematics, Shivaji college, Udgir, Maharashtra, India

DOI:

https://doi.org/10.23755/rm.v45i0.1015

Keywords:

mixed convective flow, heat transfer, perturbation method.

Abstract

In this paper investigation of mixed convective flow and heat transfer in vertical channel filled with immiscible viscous fluids has been carried out. The governing differential equations are solved analytically by regular perturbation method. The impact of governing parameters on velocity and temperature fields namely Grashof number, Brinkman number, perturbation parameter, viscosity ratio, width ratio, conductivity ratio, Nusselt number are investigated and represented graphically.

References

Aung W., Worku G., Developing flow and flow reversal in mixed convection in vertical channnel with asymetric wall temperatures, J. Heat tranfer, 108, 485-488, 1986.

Basant K. Jha, Michael O. Oni., Mixed convection flow in vertical channel with temperature dependent viscosity and flow reversal: An exact solution, International Journal of Heat and Technology, 36,607-613,2018.

Barletta A., Laminar mixed convection with viscous dissipation in a vertical channel, International Journal of Heat mass transfer, 41,3501-3513, 1998.

D. Srinivasacharya, Md. Shafeeurrahaman, Mixed convention flow of nanofluid in a vertical channel with Hall and Ion-Slip effects, FHMT, 8-11,2017.

Desai C., Vafai K., Three-dimensional buoyancy induced flow and heat transfer around the wheel outboard of an aircraft, International Journal of Heat Fluid Flow,13,50-64,1992.

J.C. Umavati,Ali j. Chamkha, Fully developed mixed convection in a vertical channel in the presence of heat source or heat sink, international Journal of Energy and technology,3(24),1-9,2011.

J.Prathap Kumar,J.U. Umavati and Shreedevi Kalyan,Chemical reaction effects on mixed convection flow of two immiscible viscous fluid in a vertical channel, HMMT,2(2),28-46.2014.

J.Prathap Kumar,J.U. Umavati and Y.Ramarao, Mixed convective heat transfer of immiscible fluids in a vertical channel with boundary conditions of the third kind, computational thermal Science, 9(5),447-465,2017.

M. Rashidi, D.Ganji, Homotopy perturbation combined with Padeꞌ approximation for solving two-dimensional viscous flow in the extrusion process, International Journal of Nonlinear Science,7,387-394,2009.

Tao, Combined Free and force convection in channels, ASME Journal of Heat Transfer,82,233-238,1980.

T.T Hamadah, R. A. Wirtz, analysis of laminar fully developed mixed convection in a vertical channel with opposing buoyancy, ASME Journal of Heat Transfer,113,507-510,1991.

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Published

2023-01-30

Issue

Vol. 45 (2023): Special Issue: Advances in Applied and Intellectual Mathematics

Section

Volume 44-2022

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