Second Law Analysis of Flow, Heat and Mass Transfer Past a Nonlinearly Stretching Permeable Wedge with Temperature Jump and Chemical Reaction

Abstract

Second law analysis (entropy generation) for the steady two-dimensional laminar forced convection flow, heat and mass transfer of an incompressible viscous fluid past a nonlinearly stretching porous (permeable) wedge is numerically studied. The effects of viscous dissipation, temperature jump, and first-order chemical reaction on the flow over the wedge are also considered. The governing boundary layer equations for mass, momentum, energy and concentration are transformed using suitable similarity transformations to three nonlinear ordinary differential equations (ODEs). Then, the ODEs are solved by using a Keller's box algorithm. The effects of various controlling parameters such as wedge angle parameter, velocity ratio parameter, suction/injection parameter, Prandtl number, Eckert number, temperature jump parameter, Schmidt number, and reaction rate parameter on dimensionless velocity, temperature, concentration, entropy generation number, and Bejan number are shown in graphs and analyzed. The results reveal that the entropy generation number increases with the increase of wedge angle parameter, while it decreases with the increase of velocity ratio parameter. Also, in order to validate the obtained numerical results of the present work, comparisons are made with the available results in the literature as special cases, and the results are found to be in a very good agreement.Nomenclature a -coefficient of fluid velocity outside boundary layer (m 1−n s −1 ) c -stretching rate of the wedge (m 1−n s −1 ) Be -Bejan number (-) Br -Brinkman number = µu 2 w (x)/(k∆T ) (-) C -concentration (-) C w -concentration at the wedge surface (-)

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“…Hossain et al considered the case for unsteady boundary layer flow past a wedge [73]. Dalir investigated two dimensional laminar transport of viscous fluid through a permeable wedge [74]. Rostami et al analytically studied laminar viscoelastic fluid flow past a wedge in the presence of Buoyancy forces and discussed the effects of Buoyancy parameter on velocity and temperature profiles [75].…”

Thermodynamic optimization of nanofluid flow over a non-isothermal wedge with nonlinear radiation and activation energy

“…The entropy transport dynamics of a Newtonian fluid in a parallel plate channel together with pressure gradient and conjugate heat transfer using an analytical scheme have been examined by Mondal and Dholey [22]. Dalir [23] explored the analysis of second law of thermodynamics for a fluid passing over a continuous expanding stretching wedge with chemical reaction and temperature jump. Entropy generation analysis of thermo-fluidic transport of a Newtonian fluid through a hyper porous channel formed between asymmetric parallel plates was studied by Gaikwad et al [24].…”