Homotopy study of magnetohydrodynamic mixed convection nanofluid multiple slip flow and heat transfer from a vertical cylinder with entropy generation

Stimulated by thermal optimization in magnetic materials process engineering, the present work investigates theoretically the entropy generation in mixed convection magnetohydrodynamic (MHD) flow of an electrically-conducting nanofluid from a vertical cylinder. The mathematical includes the effects of viscous dissipation and second order velocity slip and thermal slip. The cylindrical partial differential form of the two-component non-homogenous nanofluid model has been transformed into a system of coupled ordinary differential equations by applying similarity transformations. The effects of governing parameters with no-flux nanoparticle concentration have been examined on important quantities of interest. Furthermore the dimensionless form of the entropy generation number has also been evaluated using the powerful homotopy analysis method (HAM). The present analytical results achieve good correlation with numerical results. Entropy is found to be an increasing function of second order velocity slip, magnetic field and curvature parameter. Temperature is elevated with increasing curvature parameter and magnetic parameter whereas it is reduced with mixed convection parameter. The flow is accelerated with curvature parameter but decelerated with magnetic parameter. Heat transfer rate (Nusselt number) is enhanced with greater mixed convection parameter, curvature parameter and first order velocity slip parameter but reduced with increasing second order velocity slip parameter. Entropy generation is also increased with magnetic parameter, second order slip velocity parameter, curvature parameter, thermophoresis parameter, buoyancy parameter and Reynolds number whereas it is suppressed with higher first order velocity slip parameter, Brownian motion parameter and thermal slip parameter

Thermodynamic Analysis of Gravity-driven Liquid Film along an Inclined Heated Plate with Hydromagnetic and Viscous Dissipation Effects

The purpose of this work is to investigate the entropy generation in a laminar,gravity-driven conducting liquid film with fully developed velocity flowing along an inclineheated plate in the presence of a transverse magnetic field. The upper surface of the liquidfilm is considered free and adiabatic. The effect of heat generation by viscous dissipation isincluded in the analysis. The influence of the applied magnetic field and the viscousdissipation on velocity, temperature and entropy generation is examined

Second Law Analysis of Viscoelastic Fluid over a Stretching Sheet Subject to a Transverse Magnetic Field with Heat and Mass Transfer

This paper concerns the second law analysis of a viscoelastic fluid over a stretching sheet subject to a transverse magnetic field with heat and mass transfer. The velocity, temperature and concentration profiles are obtained analytically using Kummer’s functions. The effects of the magnetic and viscoelastic parameters on both the longitudianl and the transverse velocities are investigated. The influence of Prandt number, the magnetic parameter and the heat source/sink parameter on the temperature is analysed. The concentration and its variations with the Schmidt number and the magnetic parameter is presented as well. The velocity, the temperature and the concentration profiles are used to compute the entropy generation number. This number is graphed and studied as function of the magnetic parameter, the Prandtl number, The Schmidt number, the Reynolds number, the dimensionless group, the Hartmann number, the ratio of the dimensionless concentration difference to the dimensionless temperature difference and the constant parameter

Using cellular automata and genetic algorithm to generate 2D forms

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Second-law analysis of laminar fluid flow in a heated channel with hydromagnetic and viscous dissipation effects

The purpose of this work is to investigate the entropy generation in a laminar, conducting liquid flow inside a channel made of two parallel heated plates under the action of a transverse magnetic field. The flow is considered fully developed. The effect of heat generation by viscous dissipation is included in the analysis. The influence of the applied magnetic field and the viscous dissipation on velocity, temperature and entropy generation is examined.Channel Hydromagnetic effect Laminar flow Second law Viscous dissipation

Thermodynamic Analysis of Gravity-driven Liquid Film along an Inclined Heated Plate with Hydromagnetic and Viscous Dissipation Effects

The purpose of this work is to investigate the entropy generation in a laminar,gravity-driven conducting liquid film with fully developed velocity flowing along an inclineheated plate in the presence of a transverse magnetic field. The upper surface of the liquidfilm is considered free and adiabatic. The effect of heat generation by viscous dissipation isincluded in the analysis. The influence of the applied magnetic field and the viscousdissipation on velocity, temperature and entropy generation is examined