In the present article, the problem of boundary layer flow of MHD electrically conducting fluid past a cone and a wedge with non-uniform heat source/sink along with Cattaneo-Christov heat flux is investigated numerically. At first, the flow equations are converted into ODE via appropriate self similarity transforms and the resulting equations are solved with the assistance of R.-K. and Newton’s methods. The influence of several dimensionless parameters on velocity and temperature fields in addition to the friction factor and reduced heat transfer coefficient has been examined with the support of graphs and numerical values. The heat transfer phenomenon in the flow caused by the cone is excessive when compared to the wedge flow. Also, the thermal and momentum boundary layers are not the same for the flow over a cone and wedge

We aimed at examining the magnetohydrodynamic (MHD) radiative non-aligned stagnation point motion of non-Newtonian liquid over a stretched surface. The heat transfer mechanism is investigated in the presence of variable heat sink/source, non-linear Rosseland approximation and Biot number. Appropriate transmutations are exploited to metamorphose the flow equations into ODEs. The acquired non-linear ODEs are highly coupled. These are tackled with the consecutive implication of fourth-order Runge–Kutta and shooting techniques. The variations of flow governing parameters on the dimensionless velocity, micro-rotation and temperature plus the measure of heat transport, couple stress coefficient and friction factor are thoroughly explained using plots and tables. Outcomes stipulate that increasing the values of the stretching ratio parameter causes the thermal field to decline and the velocity field to inflate. Also, an upsurge in the micropolar parameter produces an increase in the rate of heat transport but an opposite outcome is detected with the couple stress coefficient. To the best of our knowledge the non-orthogonal stagnated motion of micropolar liquid with radiation as non-linear and variable heat source/sink has never before been scrutinized.

The movement of the ferrous nanoparticles is random in the base fluid, and it will be homogeneous under the enforced magnetic field. This phenomenon shows a significant impact on the energy transmission process. In view of this, we inspected the stream and energy transport in magnetohydrodynamic dissipative ferro and hybrid ferrofluids by considering an uneven heat rise/fall and radiation effects. We studied the Fe₃O₄ (magnetic oxide) and CoFe₂O₄ (cobalt iron oxide) ferrous particles embedded in H₂O-EG (ethylene glycol) (50–50%) mixture. The flow model is converted as ODEs with suitable similarities and resolved them using the 4th order Runge-Kutta scheme. The influence of related constraints on transport phenomena examined through graphical illustrations. Simultaneous solutions explored for both ferro and hybrid ferrofluid cases. It is found that the magnetic oxide and cobalt iron oxide suspended in H₂O-EG (ethylene glycol) (50–50%) mixture effectively reduces the heat transfer rate under specific conditions.