Flow analysis of biconvective heat and mass transfer of two-dimensional couple stress fluid over a paraboloid of revolution

• Published in: International journal of modern physics. B, Condensed matter physics, statistical physics, applied physics Vol. 34; no. 11; p. 2050110
• Main Authors: Zeeshan, Ahmed, Ali, Zeeshan, Gorji, Mohammad Rahimi, Hussain, Farooq, Nadeem, S.
• Format: Journal Article
• Language: English
• Published: Singapore World Scientific Publishing Company 30.04.2020; World Scientific Publishing Co. Pte., Ltd
• Subjects: Computational fluid dynamics; Continuity equation; Dependent variables; Fluid flow; Heat transfer; Independent variables; Mass transfer; Parabolic bodies; Parameters; Partial differential equations; Stream functions (fluids); Surface reactions; Thermal boundary layer; Transformations (mathematics); couple stress fluid; catalytic surface; upper horizontal surface of a paraboloid (uhsp); Biconvective heat and mass transfer
• ISSN: 0217-9792; 1793-6578
• DOI: 10.1142/S0217979220501106

In this paper, two-dimensional non-Newtonian couple stress fluid flow over the upper horizontal surface of a paraboloid (uhsp) (shaped like a submarine or any aerodynamical automobile) is investigated. At the freestream, a stretching of the fluid layer is assumed along with catalytic surface reaction which tends to induce the flow in the fluid-saturated domain. The problem is modeled by engaging laws of conservation for mass, momentum, heat and concentration. Velocity components are converted to stream functions and similarity transformations to reduce the dependent and independent variables in the partial differential equation describing the flow. Stream functions ideally satisfy continuity equation and transformation to reduce the PDEs to the system of coupled nonlinear ODEs. The numerical solution of these equations is obtained using the shooting-RKF method. The graphical results show that both the lateral and horizontal velocities decrease by increasing the couple stress material parameter and cause the temperature to rise. The thermal boundary layer decreases subject to the thickness parameter and has appositive effects on concentration boundary layer. Finally, numerical results have also been tabulated.