Second Law Analysis of Dissipative Nanofluid Flow over a Curved Surface in the Presence of Lorentz Force: Utilization of the Chebyshev–Gauss–Lobatto Spectral Method

Abstract

The primary objective of the present work is to study the effects of heat transfer and entropy production in a nanofluid flow over a curved surface. The influences of Lorentz force and magnetic heating caused by the applied uniform magnetic field and energy dissipation by virtue of frictional heating are considered in the problem formulation. The effects of variable thermal conductivity are also encountered in the present model. The dimensional governing equations are reduced to dimensionless form by introducing the similarity transformations. The dimensionless equations are solved numerically by using the Chebyshev–Gauss–Lobatto spectral method (CGLSM). The rate of increase/increase in the local Nusselt number and skin friction coefficient are estimated by using a linear regression model. The expression for dimensionless entropy production is computed by employing the solutions obtained from dimensionless momentum and energy equations. Various graphs are plotted in order to examine the effects of physical flow parameters on velocity, temperature, and entropy production. The increase in skin friction coefficient with magnetic parameter is high for nanofluid containing copper nanoparticles as compared to silver nanoparticles. The analysis reveals that velocity, temperature, and entropy generation decrease with the rising value of dimensionless radius of curvature. Comparative analysis also reveals that the entropy generation during the flow of nanofluid containing copper nanoparticles is greater than that of containing silver nanoparticles.

A robust scheme based on novel‐operational matrices for some classes of time‐fractional nonlinear problems arising in mechanics and mathematical physics

“…Lastly, solvingm 2 equations obtained in the last step in the environment of Maple (2015) determines the unknown square matrix C r + 1 . After incorporating this matrix C r + 1 into the trial function, we obtain the approximate solution of the problem governed by Equations (27) and (28).…”

Irreversibility Analysis of Hybrid Nanofluid Flow over a Thin Needle with Effects of Energy Dissipation

“…Numerical study of entropy generation in a fluid flow over a curved surface with variable thermal conductivity was studied by Afridi et al [4]. The comparative analysis of entropy generation in nanofluid and working fluid flow over a curved surface was carried out by Afridi et al [5]. Butt et al [6] studied the inclination effects on entropy generation in a flow of nanofluid over a stretching cylinder.…”

Second Law Analysis of Unsteady MHD Viscous Flow over a Horizontal Stretching Sheet Heated Non-Uniformly in the Presence of Ohmic Heating: Utilization of Gear-Generalized Differential Quadrature Method

“…Therefore, the present study concentrates on the heat transfer and entropy analyses of a magnetohydrodynamic unsteady flow of dissipative fluid with the existence of Lorentz force. The modelled nonlinear equations are solved numerically by utilizing an auto-adaptative implicit algorithm based on the Generalized Differential Quadrature Method (GDQM) [ 45 , 46 , 47 ] or the Gear Method (GM) [ 48 ] and discretizing the physical space domain into non-uniformly distributed grid points, which are generated simultaneously along with GDQM by the help of Gauss‒Lobatto collocation points [ 49 , 50 , 51 , 52 ]. Moreover, the present numerical results are portrayed and discussed thoroughly via various graphical and tabular illustrations, in order to examine the influences of several emerging key parameters, such as Prandtl number , magnetic parameter , Eckert number , as well as the reduced dimensionless time and the temperature difference parameter .…”