The influence of viscous dissipation on the unsteady conjugate forced convection heat transfer from a fluid sphere

Juncu, Gheorghe

doi:10.1016/j.ijheatmasstransfer.2015.07.010

Cited by 4 publications

(1 citation statement)

References 32 publications

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“…Kishore et al showed the effect of viscous dissipation on MHD free convection flow past an exponentially accelerated vertical plate. Viscous dissipation in slow flow (creeping flow) is considered in which indicated the effect of viscous dissipation for highly viscous fluids having Brinkman number of order unity. Vasudeviah et al also studied convective heat transfer for Stokes flow together with viscous dissipation.…”

Section: Introductionmentioning

confidence: 99%

MHD Stokes flow and heat transfer in a lid‐driven square cavity under horizontal magnetic field

Gürbüz

Tezer‐Sezgin

2017

Math Methods in App Sciences

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This study considers the steady flow of a viscous, incompressible and electrically conducting fluid in a lid‐driven square cavity under the effect of a uniform horizontally applied magnetic field. The governing equations are obtained from the Navier‐Stokes equations including buoyancy and Lorentz force terms and the energy equation including Joule heating and viscous dissipation terms. These equations are solved iteratively in terms of velocity components, stream function, vorticity, temperature, and pressure by using radial basis function approximation. Particular solution, which is approximated by radial basis functions to satisfy both differential equation and boundary conditions, becomes the solution of the differential equation itself. Vorticity boundary conditions are obtained from stream function equation using finite difference scheme. Normal derivative of pressure is taken as zero on the boundary. The numerical results are obtained for several values of Hartmann number and Grashof number for the Stokes approximation (Re << 1). The results show that when the viscous dissipation is present, the flow and isolines concentrate through the cold wall forming boundary layers as Grashof number increases. An increase in the magnetic field intensity retards the effect of buoyancy force in the square cavity, whereas the movement of the upper lid causes buoyancy force to be dominant. The solution is obtained in a considerably low computational expense through the use of radial basis function approximations for the MHD equations. Copyright © 2017 John Wiley & Sons, Ltd.

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Section: Introductionmentioning

confidence: 99%

MHD Stokes flow and heat transfer in a lid‐driven square cavity under horizontal magnetic field

Gürbüz

Tezer‐Sezgin

2017

Math Methods in App Sciences

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Numerical Simulation of the Effect of Transient Shear Stress and Rate of Heat Transfer Around Different Positions of Sphere in the Presence of Viscous Dissipation

Ashraf

Fatima

2018

Journal of Heat Transfer

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The present study is devoted to the problem of oscillatory convective flow in the presence of viscous dissipation around different positions of a sphere. The system of differential equations governing the flow phenomenon is transformed into dimensionless form by using suitable group of variables and then transformed into convenient form for integration by using primitive variable formulation. Numerical simulation based on finite difference method is carried out to analyze the mixed convection flow mechanism. Special focus is given on the transient shear stress and the rate of heat transfer characteristics and their dependency on various dimensionless parameters that is mixed convection parameter λ, Prandtl number Pr, dissipation parameter N, and angular frequency parameter ω. The angles X=30deg,90 deg, and 360deg are the favorable positions around the sphere for different parameters, where the transient rate of shear stress and heat transfer is noted maximum. Later, the obtained results are presented graphically by using Tech Plot-360 and compared with the previous work given in the literature.

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Periodic momentum and thermal boundary layer mixed convection flow around the surface of a sphere in the presence of viscous dissipation

2017

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Numerical solutions for the periodic laminar boundary layer mixed convection flow around the surface of a heated sphere in the presence of viscous dissipation have been obtained by solving the governing equations using an implicit finite difference numerical technique. The fluid under consideration is assumed to be viscous and incompressible. Periodic momentum and thermal boundary layer profiles for different positions of x around the surface of the sphere are evaluated. The features of the obtained results for different values of mixed convection parameter λ, Prandtl number Pr, viscous dissipation parameter N, and frequency parameter ω are shown graphically. The obtained results confirm significant effect of all these mentioned parameters on periodic momentum and thermal boundary layer mixed convection flow around different positions of the sphere.

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The influence of viscous dissipation on the unsteady conjugate forced convection heat transfer from a fluid sphere

Cited by 4 publications

References 32 publications

MHD Stokes flow and heat transfer in a lid‐driven square cavity under horizontal magnetic field

MHD Stokes flow and heat transfer in a lid‐driven square cavity under horizontal magnetic field

Numerical Simulation of the Effect of Transient Shear Stress and Rate of Heat Transfer Around Different Positions of Sphere in the Presence of Viscous Dissipation

Periodic momentum and thermal boundary layer mixed convection flow around the surface of a sphere in the presence of viscous dissipation

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