A Group Theoretic Analysis of Mutual Interactions of Heat and Mass Transfer in a Thermally Slip Semi-Infinite Domain

Abstract

Group theoretic analysis is performed to get a new Lie group of transformations for non-linear differential systems constructed against mass and heat transfer in the thermally magnetized non-Newtonian fluid flow towards a heated stretched porous surface. The energy equation is used with additional effects, namely heat sink and heat source. The chemical reaction is also considered by the use of the concentration equation. The symmetry analysis helps us in numerical computations of surface quantities for (i) permeable and non-permeable surfaces, (ii) thermal slip and non-thermal slip flows, (iii) magnetized and non-magnetized flows, (iv) chemically reactive and non-reactive flows. For all these cases, the concerned emerging partial differential system is transformed into a reduced ordinary differential system and later solved numerically by using the shooting method along with the Runge-Kutta scheme. The observations are debated graphically, and numerical values are reported in tabular forms. It is noticed that the heat transfer rate increases for both the thermal slip and non-slip cases. The skin friction coefficient declines towards the Weissenberg number in the magnetized field.

Keywords

• heat transfer
• mass transfer
• Lie symmetry
• thermal slip
• heat source/sink
• magnetized flow