The heat generation/absorption effects in a Maxwell fluid over a stretching surface with variable thickness embedded in a porous medium is considered. The nonlinear partial differential equations are transformed into nonlinear ordinary differential equations by similarity method. The resulting coupled nonlinear ordinary differential equations are solved under appropriate transformed boundary conditions using the Runge-Kutta fourth order along with shooting method. Comparisons with previously published work are performed and the results are found to be in very good agreement. Characteristics of dissonant parameters on velocity, temperature, skin friction coefficient and Nusselt number are collected and discussed through graphs and tables.

Effect of heat generation or absorption and thermal radiation on free convection flow and heat transfer over a truncated cone in the presence of pressure work is considered. The governing boundary layer equations are reduced to non-similarity boundary layer equations and solved numerically by using Mathematica technique. Comparisons with previously published work on special cases of the problem are performed and the results are found to be in excellent agreement. The solutions are presented in terms of local skin friction, local Nusselt number, velocity, and temperature profiles for values of Prandtl number, pressure work parameter, radiation parameter, and heat generation or absorption parameter.

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An efficient Legendre-Galerkin method was applied to obtain a solution of the Maxwell dusty fluid flow past a changeable thickness stretching surface in porous medium. It is common to reduce a governing system of partial differential equations to a collection of ordinary differential equations using similarity transformation to obtain the asymptotic solutions using the Legendre-Galerkin technique. Comparison of the numerical results is made with previously published results under the special cases. The results are found to be in a good agreement. Numerical results were obtained for the skin-friction, velocity profiles of the fluid as well as velocity profiles of dusty particles for selected values of the governing parameters, such as velocity power index 𝑛, wall thickness α, elasticity β, fluid particle interaction βv, porosity γ, and mass concentration ℓ parameters. Also, the impacts of these parameter on the physical (surface heat flux and surface shear stress) and mechanical properties (surface cracking, strength, hardness, stiffness, etc.) are presented and investigated.

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