Main Article Content
This paper presents the solutions to the equations governing convective flow and heat transfer of two viscous immiscible dusty and pure fluids confined between a vertical corrugated wall and a parallel flat wall. The nonlinear partial differential equations governing the flow have been reduced to nonlinear ordinary differential equations using the regular perturbation method. The transformed nonlinear ordinary differential equations have been solved numerically using the linear approximation theorem. The effects of the governing parameters on the velocity and temperature fields for the two fluids and the dust particles have been obtained and graphically represented using Matlab.
Sastry TVAP, Krishna MV, Sreenadh S, Ramanamurthy MV. Couette flow of two immiscible fluids between two permeable bed. ARPN Journal of Engineering and Applied Sciences. 2010;5(2).
Umavathi JC, Liu IC, Shekar M. Unsteady mixed convective heat transfer of two immiscible fluids confined between long vertical wavy wall and parallel flat wall. Applied. Math. Mech. -Engl. Ed. 2012;33(7):931-950.
Umavathi JC, Liu IC, Shaik Meera D. Unsteady flow and heat transfer of three immiscible fluids. Int. J. Appl.Mech. Eng. 2008;13:1079-1100.
Umavathi JC, Manjula MH, Pop I, Liu IC. Flow and heat transfer of couple stress and viscous fluid in a vertical channel. Int. J. Appl. Mech. Eng. 2007;12:537-555.
Vajravelu K, Sastri KS. Free convective heat transfer in a viscous incompressible fluid confined between a long vertical wavy wall and a parallel flat wall. J. Fluid Mech. 1978;86:365-383.
Verma PD, Bhatt BS. Plane couette flow of two immiscible incompressible fluids with suction at the stationary plate. Proc. Indian Acad. Sci. 1973;78:108.
Wang CC, Chen CK. Transient force and free convection along a vertical wavy surface in micropolar fluids. Int.J. Heat Mass Transfer. 2001;44:3241-3251.
Wang CC, Chen CK. Forced convection in a wavy-wall channel. Int. J. Heat Mass Transfer. 2002;45:2587-2595.
Wang G, Vanka SP. Convective heat transfer in a periodic wavy passages. Int. J. Heat Mass Transfer. 1995;38:3219-3230.
Yao LS. Natural convection along a vertical complex wavy surface. Int. J. Heat Mass Transfer. 2006;49281-286.
Siddiqa S, Hossain MA, Saha SC. Two-phase natural convection flow of a dusty fluid. Int. J. Numerical Method H. 2006;25:1542–1556.
Attia HA, Abbas W, Aboul-Hassan AL, Abdeen MAM, Ibrahim MA. Unsteady flow of a dusty Bingham fluid through a porous medium in a circular pipe. Journal of Applied Mechanics and Technical Physics. 2016;57(4):596-602.
Abbas W, El-Shinnawy SM, Emam MS, Mostafa A, Abdeen M. Couette flow of two immiscible dusty fluids between two parallel plates with heat transfer. Int. J. Heat Mass Transfer. 2017;06:334-343.