Abstract
This paper examines the steady-state momentum heat and mass transfer flow of a Casson fluid flow in the existence of a pre-exponential factor. The velocity of the fluid over a vertical stretched pin changes linearly with the axial distance when a Casson model is supposed for the viscosity. A similarity transformation eases the Navier–Stokes partial differential equations that are converted into ordinary differential equations and solved numerically for concentration, velocity, and temperature fields. Moreover, viscosity and conductivity are assumed to be dependent on the temperature profile. Results are discussed for two boundary conditions of the pin, while diffusivity is dependent on concentration. A reaction in the form of a pre-exponential factor is taken on the surface of the pin. Parameters such as the mixed convection parameter, viscosity parameter, and viscoelastic parameter are considered for the control of the flow field. In addition, the internal energy change and the Prandtl number are found to examine the temperature field inside the stretched pin, while the Schmidt number, temperature relative parameter, concentration buoyancy parameter, activation energy parameter, and chemical reaction parameter control the concentration field.
Highlights
In a chemical system, the amount of energy required to control the atoms or molecules during a chemical reaction is known as the pre-exponential factor
A chemical reaction proceeds at an equitable rate if there exists a specific number of molecules or atoms with activation energy less than or equal to translational energy
Maleque3 studied the impact of change in internal energy and heat absorption on MHD boundary layer mass and heat transfer flow with energy activation and chemical reaction
Summary
Cite as: AIP Advances 10, 025009 (2020); https://doi.org/10.1063/1.5140349 Submitted: 26 November 2019 • Accepted: 17 January 2020 • Published Online: 05 February 2020 T. Salahuddin, Nazim Siddique, Maryam Arshad, et al COLLECTIONS Paper published as part of the special topic on Mathematical Physics ARTICLES YOU MAY BE INTERESTED IN Boundary layer flow and heat transfer to Carreau fluid over a nonlinear stretching sheet AIP Advances 5, 107203 (2015); https://doi.org/10.1063/1.4932627 Darcy-Forchheimer flow of Maxwell nanofluid flow with nonlinear thermal radiation and activation energy AIP Advances 8, 035102 (2018); https://doi.org/10.1063/1.5019218 Entropy generation in MHD Maxwell nanofluid flow with variable thermal conductivity, thermal radiation, slip conditions, and heat source AIP Advances 10, 015038 (2020); https://doi.org/10.1063/1.5129569
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