Abstract
In this article , a mathematical model is developed inview of Caputo fractional derivative for Oldroyd-B hybrid nanofluid via a porous medium over a vertical surface. Nano-sized particles of Copper (Cu) and Titanium oxide () are used to prepare a hybrid nanofluid taking water as a base fluid. The nonlinear governing equations of the problem are transformed into a dimensionless form using a dimensional analysis. A finite difference scheme is developed and applied successfully to get the numerical solutions of a deliberated problem. The influence of different physical parameters on the fluid velocity profile and temperature profile is analyzed briefly. The fractional parameter plays the role of controlling agent of thermal and momentum boundary layers. The fluid temperature boosted for ascending values of Eckert number Ec and similar behavior of temperature profile is observed for volume fraction parameter of nanoparticles . It can also be noticed that the extended finite difference scheme is an efficient tool and gives accurate results of the considered problem. It can be extended for more numerous types of heat transfer problems arising in physical science with complex geometries.
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