Thermal transport with nanoparticles of fractional Oldroyd-B fluid under the effects of magnetic field, radiations, and viscous dissipation: Entropy generation; <i>via</i> finite difference method

Abstract It is a well-known fact that functional effects like relaxation and retardation of materials, heat transfer phenomena occur in wide range industrial engineering problems. In this context, mathematical model developed the view Caputo fractional derivative for Oldroyd-B nano-fluid. Nano-sized particles copper (Cu) are used to prepare nano-fluid taking water as base fluid. The coupled non-linear governing equations problem transformed into dimensionless form. Finite difference scheme applied successfully get numerical solutions deliberated problem. Influence different physical parameters on fluid velocity profile temperature analyzed briefly. observed increasing values parameter ( α ), increased, but opposite behavior was noticed profile. Nusselt number (Nu) decayed advancement source/sink Q 0 radiation (Nr), volume fraction ϕ viscous dissipation (Ec). Skin friction C f ) boosts increase magnetic field (Ha). can also be extended finite an efficient tool gives accurate results discussed more numerous type problems arising nature with complex geometry.