Effects of Chemical Reactions on Unsteady Free Convective and Mass Transfer Flow from a Vertical Cone with Heat Generation/Absorption in the Presence of VWT/VWC

Abstract

A mathematical model for the effects of chemical reaction and heat generation/absorption on unsteady laminar free convective flow with heat and mass transfer over an incompressible viscous fluid past a vertical permeable cone with nonuniform surface temperatureTw'(x)=T∞'+axnand concentrationCw'(x)=C∞'+bxmis considered here. The dimensionless governing boundary layer equations of the flow that are transient, coupled, and nonlinear partial differential equations are solved by an efficient, accurate, and unconditionally stable finite difference scheme of Crank-Nicholson type. The velocity, temperature, and concentration profiles have been studied for various parameters, namely, chemical reaction parameterλ, the heat generation and absorption parameterΔ, Schmidt number Sc, Prandtl numberPr, buoyancy ratio parameterN, surface temperature power law exponentn, and surface concentration power law exponentm. The local as well as average skin friction, Nusselt number, and Sherwood number are discussed and analyzed graphically. The present results are compared with available results in open literature and are found to be in excellent agreement.

The Unsteady Free Convective Flow over Rotating Disk under the Existence of Chemical Reaction, Soret and Dufour Effects

“…al. [2] also reported free convective flow in a vertical cone under the existence of chemical reaction and the effect of heat generation and absorption. They carried out their study in non-uniform surface temperature and concentration and prepared a mathematical model through the use of finite difference scheme of Crank-Nicholson in the year 2014.…”

Convective nanofluid flow over a vertical cone with a rough surface

“…The study on flow over a vertical cone has got various engineering and industrial applications, for instance, in steam generators, design of space crafts, dehydration process in chemical and food processes, drying and solar energy plants. 1 Very recently, many researchers have published several research studies on the flow over the cone. Sreedevi et al 2 explored single-and multiwall carbon nanotubes in a vertical cone, and their results reveal that the increase in magnetic parameter raises the temperature of both nanofluids.…”

“…The study on flow over a vertical cone has got various engineering and industrial applications, for instance, in steam generators, design of space crafts, dehydration process in chemical and food processes, drying and solar energy plants 1 . Very recently, many researchers have published several research studies on the flow over the cone.…”

A Numerical Study of Dissipative Chemically Reactive Radiative MHD Flow Past a Vertical Cone with Nonuniform Mass Flux

“…Large amount of heat is generated when chemical reaction takes place in a process and because of this the temperature of the body increases. Several findings have been accounted on the mass transfer movement of a radiative fluids in the occurrence of MHD was studied by Sambath and Bapuji [9][10][11][12]. Muhaimin et al [13] studied variable viscosity with thermally stratified impacts on magneto hydrodynamic free convective mass transfer over a porous wedge in the existence of chemical reaction.…”