Abstract
In the present article, we investigate the dual slip effect namely the velocity slip and thermal slip conditions on MHD flow past a thin needle. The entropy generation for the incompressible fluids that’s water and acetone that flowing above the thin needle is discussed. The energy dissipating term and the magnetic effect is included in the axial direction. The leading partial differential equations are transformed to ODE by an appropriate similarity transformation and solved using a numerical technique that is the Quasilinearization method. The terms for the rate of entropy generation, the Bejan number, and the irreversibility distribution ratio are discussed. Each dimensionless number is shown with velocity slip and also with the magnetic parameter is presented in graphical form. In the result, we conclude that the entropy generation rate is increasing with the increase in thermal slip parameter also some increasing effect is found as the size of the needle increases
Highlights
Lee[1] was the first who introduced the momentum boundary layer flow for Newtonian fluid above a thin needle
The current study aims to examine the effects of dual slip condition with magnetohydrodynamic MHD flow, the velocity ratio, and the viscous dissipation parameters on the entropy generation rate above thin needle has been discussed for water and acetone
This work determines the effects of dual slip parameters β and γ, velocity ratio ε, and viscous dissipation on the dimensionless parameters, including dimensionless velocity and temperature, skin fraction Cf, Nusselt number Nu, the rate of entropy generation Sg′′e′n, Bejan number, and irreversibility distribution ratio for acetone and water
Summary
Newtonian fluid flow with entropy generation in thermally dissipating flow above a thin needle. The irreversibility of the fluid flow in shear forces and heat transfer, where work is done on adjacent layers where slight heat is generated due to its viscosity, is known as viscous dissipation. In microchannel, this effect is existing if the ratio of length to width ratio is significantly huge. The current study aims to examine the effects of dual slip condition with magnetohydrodynamic MHD flow, the velocity ratio, and the viscous dissipation parameters on the entropy generation rate above thin needle has been discussed for water and acetone. The obtained equations are solved by numerical technique through the Quasilinearization technique
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