heat source

This research examines the hybrid nanofluid alumina-copper/water flow over a permeable sheet, considering slip, magnetohydrodynamics, and heat source.  To analyze the system, the model is transformed into nonlinear ordinary differential equations (ODEs) via the similarity transformation.  Numerical solutions are attained through the implementation of the bvp4c function in MATLAB.  The study analyzes velocity and temperature profiles, local skin friction, and Nusselt number for various parameters.  Moreover, the impact of magnetohydrodynamics on the system is explored. 

Purpose. To determine the two-dimensional thermoelastic state in a circular plate, weakened by an edge or internal crack induced by a stationary heat sourse. This paper proposes using singular integral equation (SIE) to investigate thermostressed intensity in the vicinity of the crack tip, depending on the local heat source placement and identify typical mechanical effects.