Abstract
The velocity and thermal slip impacts on the magnetohydrodynamics (MHD) nanofluid flow and heat transfer through a stretched thin sheet are discussed in the paper. The no slip condition is substituted for a new slip condition consisting of higher-order slip and constitutive equation. Similarity transformation and Lie point symmetry are adopted to convert the derived governed equations to ordinary differential equations. An approximate analytical solution is gained through the homotopy analysis method. The impacts of velocity slip, temperature jump, and other physical parameters on flow and heat transfer are illustrated. Results indicate that the first-order slip and nonlinear slip parameters reduce the velocity boundary layer thickness and Nusselt number, whereas the effect on shear stress is converse. The temperature jump parameter causes a rise in the temperature, but a decline in the Nusselt number. With the increase of the order, we can get that the error reaches 10 − 6 from residual error curve. In addition, the velocity contours and the change of skin friction coefficient are computed through Ansys Fluent.
Highlights
In a heat transfer mechanism, fluid is a main medium as a heat transfer carrier
For the sake of improving the heat transfer efficiency of the fluid, researchers have added metal and non-metallic nanoparticles into the traditional base liquid to form a new compound “nanofluid”
The effect of heat and velocity slip on the flow of Carson nanofluids through a cylinder was discussed by Usman et al [19]
Summary
In a heat transfer mechanism, fluid is a main medium as a heat transfer carrier. improving the thermal transfer efficiency of the fluid used is a vital challenge in the industry. Researchers have further investigated the flow and conduct heat of power law fluids. When nanoparticles are added into the traditional base liquid, local velocity slip may happen as an effect of high shear force between the fluid and the wall, and the slip condition is no longer negligible in the nanometer or micro scales. Studied the viscous flow and heat transfer of nanofluid through a stretched sheet with the effect of magnetic field, velocity, and thermal slip. The effect of heat and velocity slip on the flow of Carson nanofluids through a cylinder was discussed by Usman et al [19]. There are few papers about the flow and heat transfer of magnetic nanofluids with higher-order slip parameters. The fluid flow situation is visualized by the computational fluid dynamics (CFD) software Ansys Fluent
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