Three-dimensional Couette flow of a dusty fluid with heat transfer

Gireesha, B. J.; Chamkha, Ali J.; Vishalakshi, C. S.; Bagewadi, C. S.

doi:10.1016/j.apm.2011.07.014

Cited by 22 publications

(15 citation statements)

References 16 publications

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“…Gireesha et al [15] presented the boundary layer flow and heat transfer of a dusty fluid over a stretching sheet with the effect of non-uniform heat source/sink and obtain numerical solution. Recently, Gireesha et al [16] discussed three-dimensional Couette flow of a dusty fluid with heat transfer analytically using the classical perturbation method.…”

Section: Introductionmentioning

confidence: 99%

MHD two-phase fluid flow and heat transfer with partial slip in an inclined channel

2016

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The aim of this paper is to investigate the velocity and thermal slip effects in MHD flow and heat transfer of two-phase viscous fluid. It is assumed that both the phases have different densities, viscosities and electrical conductivities. The fully developed flow governed by a constant pressure gradient is passing through an inclined channel having inclination ϕ with horizontal axis. The electrical conductivity in phase I is assumed to be zero so that the constant applied magnetic field of strength B 0 in the transverse direction only effect the fluid in phase II. The method of successive approximation is used to develop the analytic solution of order 1 for the developed dimensionless coupled ordinary differential equations. The main focus is to discuss the influence of velocity and thermal slip parameters and Hartmann number on the velocity and temperature profiles.

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Section: Introductionmentioning

confidence: 99%

MHD two-phase fluid flow and heat transfer with partial slip in an inclined channel

2016

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“…Rashidi et al [8] performed the second law of thermodynamics analysis of a rotating porous disk in the presence of a magnetic field with temperature-dependent thermo-physical properties numerically using fourth-order Runge-Kutta method. Gireesha et al [9] studied the heat transfer of Couette flow with presence of dusty fluid by perturbation method. Rajput et al [10] analyzed the exact solution of free convection in unsteady MHD Couette flow of a viscous incompressible, electrically conducting fluid between the two vertical parallel plates with the presence of thermal radiation in the absence of thermal diffusion and diffusion thermo.…”

Section: Introductionmentioning

confidence: 99%

Thermal diffusion and diffusion thermo effects on an unsteady heat and mass transfer magnetohydrodynamic natural convection Couette flow using FEM

Raju

Reddy

Rao

et al. 2016

Journal of Computational Design and Engineering

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The numerical solutions of unsteady hydromagnetic natural convection Couette flow of a viscous, incompressible and electrically conducting fluid between the two vertical parallel plates in the presence of thermal radiation, thermal diffusion and diffusion thermo is obtained here. The fundamental dimensionless governing coupled linear partial differential equations for impulsive movement and uniformly accelerated movement of the plate were solved by an efficient Finite Element Method.Computations ware performed for a wide range of the governing flow parameters, viz., Thermal diffusion (Soret) and Diffusion thermo (Dufour) parameters, Magnetic field parameter, Prandtl number, Thermal radiation and Schmidt number. The effects of these flow parameters on the velocity (u), temperature (θ) and Concentration (φ) are shown graphically. Also the effects of these pertinent parameters on the skin-friction, the rate of heat and mass transfer are obtained and discussed numerically through tabular forms. These are in good agreement with earlier reported studies. Analysis indicates that the fluid velocity is an increasing function of Grashof numbers for heat and mass transfer, Soret and Dufour numbers whereas the Magnetic parameter, Thermal radiation parameter, Prandtl number and Schmidt number lead to reduction of the velocity profiles. Also, it is noticed that the rate of heat transfer coefficient and temperature profiles increase with decrease in the thermal radiation parameter and Prandtl number, whereas the reverse effect is observed with increase of Dufour number. Further, the concentration profiles increase with increase in the Soret number whereas reverse effect is seen by increasing the values of the Schmidt number. NOMENCLATURE List of Variables: h Distance between two parallel plates ( m ) o H Magnetic field component along   y axis ( 1  m A ) p C Specific heat at constant pressure   K Kg J 1  s C Concentration susceptibility ( 1  mole m ) Gr Grashof number for heat transfer Gc Grashof number for mass transfer g Acceleration of gravity ( 2  s m ) M Hartmann number Pr Prandtl number Sc Schmidt number R Thermal radiation parameter F Accelerating parameter D Chemical molecular diffusivity ( 1 2  s m ) T  Temperature of fluid   K w T  Temperature of the fluid near to moving plate   K h T  Temperature of the fluid near to the stationary plate   K C Concentration of fluid ( 3  m mol ) w C Concentration of the fluid near to moving plate ( 3  m mol ) h C Concentration of the fluid near to the stationary plate ( 3  m mol ) t Time in x , y coordinate system ( s ) t Time in dimensionless co-ordinates ( s ) u Velocity component in   x direction ( 1  s m ) u Dimensionless velocity component in   x direction ( 1  s m ) o Nu Nusselt number at the moving hot plate 1 Nu Nusselt number at the stationary plate Sh Sherwood number Sr Soret number (Thermal Diffusion) Dr Dufour number (Diffusion Thermo) r q Radiative heat flux K Chemical reaction of first order with rate constant y x  , Co-ordinate syste...

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“…They also reported that copper nanoparticles exhibited the highest heat transfer enhancement. Along that line, Makinde (2004) investigated the combined effects of viscous dissipation and Newtonian heating on boundarylayer flow over a flat plate using water based nanofluids containing copper (Cu) Nag et al (1979), Gireesha et al (2012) and Das et al (2009), Hatami et al (2014), Kuznetsov and Nield (2014), Jamai et al (2014), among many others.…”

Section: Introductionmentioning

confidence: 99%

Modelling the Effect of Variable Viscosity on Unsteady Couette Flow of Nanofluids with Convective Cooling

Ali

Makinde²

2015

JAFM

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This paper investigates numerically the effects of variable viscosity on unsteady generalized Couette flow of a water base nanofluid with convective cooling at the moving surface. The Buongiorno model utilized for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The nonlinear governing equations of continuity, momentum, energy and nanoparticles concentration are tackled numerically using a semi discretization finite difference method together with Runge-Kutta Fehlberg integration scheme. Numerical results for velocity, temperature, and nanoparticles concentration profiles together with skin friction and Nusselt number are obtained graphically and discussed quantitatively.

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Three-dimensional Couette flow of a dusty fluid with heat transfer

Cited by 22 publications

References 16 publications

MHD two-phase fluid flow and heat transfer with partial slip in an inclined channel

MHD two-phase fluid flow and heat transfer with partial slip in an inclined channel

Thermal diffusion and diffusion thermo effects on an unsteady heat and mass transfer magnetohydrodynamic natural convection Couette flow using FEM

Modelling the Effect of Variable Viscosity on Unsteady Couette Flow of Nanofluids with Convective Cooling

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