Insight into the dynamics of the non-Newtonian Casson fluid on a horizontal object with variable thickness. (English) Zbl 1510.76016
Summary: With quick variations and growths in engineering technology, the activation and binary chemical reaction have sparked vast interest for engineers and scientists due to its immense applications in chemical engineering, food processing, processes of transportation, reservoir of geothermal, etc. In the energy activation, the least amount of energy is required for stimulation of reactants, wherever a chemical change undergoes. Internal energy change of the viscoelastic fluid is the fundamental part of thermophysical properties determining their enactment is a subject of extensive debates over the years. With this significance, we present the steady-state momentum heat and mass transfer flow of a viscoelastic fluid flow in the existence of pre-exponential factor. The velocity of the fluid over the horizontally stretched pin is changed linearly with the axial distance while Casson fluid is supposed as a fluid model. A similarity transformation eases the Navier-Stokes partial differential equations that are transformed into ordinary differential equations and solved numerically through bvp4c solver for the velocity, concentration and energy fields. Moreover, viscosity and conductivity are assumed to be dependent on temperature. Results are discussed near the boundary layer of the pin, while diffusivity is dependent on concentration. A reaction in the form of pre-exponential factor is taken on the surface of pin. Parameters like the ratio parameter, viscosity parameter and viscoelastic parameter are used to control the flow field. We also find that velocity field declines for growing values of viscoelastic parameter \(\gamma \). Stripe of temperature field shows increasing behavior with positive values of heat generation parameter \(b\) but shows adverse behavior with negative values of b. Small values of Dramkohler number \(D_a\) gives larger values of Prandtl number but in case of Eckert number we saw an opposite behavior. The fitted rate \(n\) and temperature difference parameter have conflicting influence on concentration profile. Activation energy \(E\) and \(\varepsilon_1\) causes increment in the behavior of temperature profile. Moreover, numerical data of current paper is compared with previous data.
MSC:
| 76A05 | Non-Newtonian fluids |
Keywords:
moving thin pin; viscoelastic fluid; variable viscosity; internal energy change; thermal chemical reaction; variable thermal conductivity; variable diffusion coefficient; heat generation/absorption bvp4cReferences:
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