ON FREE CONVECTION FLOW OF AMOVING VERTICAL PERMEABLE PLATE WITH QUADRATIC BOUSSINESQ APPROXIMATION AND VARIABLE THERMAL CONDUCTIVITY

The investigation of free convective flow of a moving vertical plate with the buoyancy force modeled as quadratic Boussinesq approximation and variable thermal conductivity is examined due to its applications in thermal engineering systems. The modification is a classical approximation for buoyancy-driven flows of viscous, incompressible fluids with temperatures at the plate and far away from the plate. An appropriate shooting numerical technique is used to provide solutions to the formulated equations. The numerical scheme is confirmed to be stable, consistence, and convergence and a Fehlberg Runge-Kutta scheme is then utilized to completely solve the reduced initial value problem. The computational results are then presented in figures and table. It was noticed that with time variation, the quadratic convection term has insignificant impact on the velocity profile. However, temperature difference encourages heat propagation and fluid flow rate in the device. Hence, in a thermal system, parameters that enhance heat propagation must be controlled to prevent blowup in the system.