Abstract
By using the Caputo–Fabrizio time fractional derivative, unsteady flows of an incompressible viscous through a circular tube are developed. Flows are generated due to the combination of electroosmotic, pressure and magnetic forces. The derived fractional momentum equation incorporating the electromagnetic body force resulting from the electric double layer (EDL) field was solved using the Laplace transform technique, Riemann-sum approximation method, and the Stehfest’s algorithm. The solution obtained is validated by assenting comparisons between the Riemann-sum approximation method and Stehfest’s algorithm. Based upon the velocity field solution, the energy equation is analyzed by taking the viscous dissipation, thermal radiative, the volumetric heat generation due to Joule heating effect and electromagnetic couple effect into account. Numerical simulations and graphical illustrations were carried out using the software package Mathcad. The results highlights that, fractional models of fluid-flow and heat transfer with fractional derivatives bring significant differences compared to the ordinary model. The variations of fluid velocity, fluid temperature, skin friction and Nusselt number with related parameters are interpreted and the results are discussed.
•Fluid-flow and heat-transfer are governed by the Caputo–Fabrizio time fractional derivative in a micro-parallel channel.•Potential electric field is applied as driving force for elecroosmotic MHD flow.•The thermal radiation and Brinkman number are significantly responsible for rate of heat transfer control.•The magnetic field and Joule heating are significantly responsible for fluid temperature control.•Magnetic field tends to enhance skin friction for both fractional and ordinary fluid.