Boundary layer flow and heat transfer of a dusty fluid flow over a stretching sheet with non-uniform heat source/sink

Gireesha, B. J.; Ramesh, G.; Abel, M. Subhas; Bagewadi, C. S.

doi:10.1016/j.ijmultiphaseflow.2011.03.014

Cited by 77 publications

(48 citation statements)

References 13 publications

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“…Available at www.ThermalFluidsCentral.org variable wall temperature (VWT) and variable heat flux (VHF) were observed by Gireesha et al (2011;. In these papers, they analyzed the effect of magnetic field on the flow and heat transfer within the boundary layer of dusty fluid.…”

Section: Frontiers In Heat and Mass Transfermentioning

confidence: 99%

Soret and Dufour Effects on Unsteady Hydromagnetic Dusty Fluid Flow Past an Exponentially Accelerated Plate With Variable Viscosity and Thermal Conductivity

Konch¹

2018

Frontiers in Heat and Mass Transfer

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Soret and Dufour effects on the unsteady flow of a viscous incompressible dusty fluid past an exponentially accelerated vertical plate with viscous dissipation have been considered in the presence of heat source and magnetic field. The viscosity and thermal conductivity of the fluid are assumed to be varying with respect to temperature. Saffman model of dusty fluid is considered for the investigation. The non-linear partial differential equations with prescribed boundary conditions governing the flow are discretized using Crank-Nicolson formula and the resulting finite difference equations are solved by an iterative scheme based on the Gauss-Seidel method by developing computer codes for MATLAB software. Numerical results are obtained for different values of the viscosity variation parameter, thermal conductivity variation parameter, Soret number, Dufour number and magnetic parameter. The overall investigation of variation of velocity, temperature, and species concentration profiles is presented graphically. Finally, numerical values of skin friction coefficient, Nusselt number, and Sherwood number are obtained and presented in tabular form for different values of physical parameters. It is found that skin friction coefficient increases with an increase in thermal conductivity variation parameter and magnetic parameter and decreases as the values of viscosity variation parameter, Soret number and Dufour number increase. Moreover, an increase in the Dufour number tends to decrease the Nusselt number and to increase the Sherwood number. But, an contrary tendency is observed with Soret number.

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Section: Frontiers In Heat and Mass Transfermentioning

confidence: 99%

Soret and Dufour Effects on Unsteady Hydromagnetic Dusty Fluid Flow Past an Exponentially Accelerated Plate With Variable Viscosity and Thermal Conductivity

Konch¹

2018

Frontiers in Heat and Mass Transfer

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“…Ganesan and Palani [31] studied free convection flow of a dusty fluid past a semiinfinite inclined plate with constant heat flux using an implicit finite difference method. Gireesha et al [32] have analyzed the boundary layer flow and heat transfer of a dusty fluid over a stretching sheet with the effect of non-uniform heat source/sink.…”

Section: Introductionmentioning

confidence: 99%

Boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source

Gireesha

Venkatesh

Shashikumar³

et al. 2017

Nonlinear Engineering

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Numerical investigation for the effect of thermal stratification on MHD flow and heat transfer of dusty fluid over a vertical stretching sheet embedded in a thermally stratified porous medium in the presence of uniform heat source and thermal radiation. The governing equations for the problem were reduced in to dimensionless ordinary differential equations using suitable similarity transformations. The transformed nonlinear ordinary differential equations are numerically solved by applying efficient RungeKutta Fehlberg-45 Method with shooting technique. The effects of various flow controlling parameters such as Prandtl number, heat source/sink parameter, fluid particle interaction parameter, heat source parameter, radiation parameter on velocity and temperature distributions of both fluid and dust phases are depicted graphically. Finally, the numerical results are compared and found to be in good agreement with previously published results under special cases. The results indicate that the fluid phase velocity is always greater than that of the particle phase and thermal stratification significantly affects the surface shear stress as well as the surface heat transfer.

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“…The analysis of fluid flow over stretching/shrinking surfaces has been of immense interest for the researchers in the fields of engineering and chemical process [1][2][3][4]. Especially the fluid flow generated by the surface is important in the extrusion and manufacturing process of material polymers, cooling systems, plastic industry, petrochemical industry, paper production, geophysical systems, power stations, chemical plants, air conditioning, refrigeration, etc.…”

Section: Introductionmentioning

confidence: 99%

MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions

Rauf¹,

Shehzad²,

Hayat³

et al. 2017

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. In this article the stagnation point flow of electrically conducting micro nanofluid towards a shrinking sheet, considering a chemical reaction of first order is investigated. Involvement of magnetic field occurs in the momentum equation, whereas the energy and concentrations equations incorporated the influence of thermophoresis and Brownian motion. Convective boundary condition on temperature and zero mass flux condition on concentration are implemented. Partial differential equations are converted into the ordinary ones using suitable variables. The numerical technique is utilized to discuss the results for velocity, microrotation, temperature, and concentration fields. Many biological fluids, as well as the fluids that are used in industrial applications such as printer inks, animal blood, detergents, paint, food stuff, polymer liquids, etc. change their flow characteristics when subjected to applied shear stress, and thus differ from Newtonian fluids. These materials are called non-Newtonian fluids. Researchers have discussed several non-Newtonian fluid flow models such as Maxwell fluid, power law fluid, second or third grade fluid, etc. Eringen [17,18] introduced the theory of micropolar fluids for the first time. This theory deals with the intrinsic motion and local microstructure of the fluid particles and can be valuable when investigating the impact of polymer suspensions, colloidal solutions, biological and muddy fluids, etc. Furthermore, the impact of mass and heat transfer, combined with the impact of chemical reaction, has in the last few years been investigated with regard to possible applications in hydrometallurgical and chemical plants, including fruit-processing methods, freeze damage of crops, temperature distribution and growth of trees, and heat and mass transfer in cooling towers. Heat transfer due to surface convection and zero mass flux at a stretching/shrinking surface has gained significance in material dying, hot wiring, nuclear plants, transpiration process, production of glass fiber, heat exchangers, prevention of energy, etc.The numerical solution of the problem of MHD stagnation point flow of micropolar fluid towards a moving sheet was presented by Ashraf and Bashir [19]. The extension of the above problem was performed by Rashidi et al. [20]. They added the term of mixed convection to the problem, and solved it analytically. Rauf et al. [21] numerically analyzed the MHD flow of micropolar fluid over a stretchable disk. The effects of a po-

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Boundary layer flow and heat transfer of a dusty fluid flow over a stretching sheet with non-uniform heat source/sink

Cited by 77 publications

References 13 publications

Soret and Dufour Effects on Unsteady Hydromagnetic Dusty Fluid Flow Past an Exponentially Accelerated Plate With Variable Viscosity and Thermal Conductivity

Soret and Dufour Effects on Unsteady Hydromagnetic Dusty Fluid Flow Past an Exponentially Accelerated Plate With Variable Viscosity and Thermal Conductivity

Boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source

MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions

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