Thermography of ferromagnetic Walter's-B fluid through varying thermal stratification

Abstract

Thermally induced damages (hypolimnion, metalimnion and epilimnion) are usually caused by thermal stratification; due to a fact that fluid flows at a low velocity with large temperature variances. In this manuscript, thermal stratification phenomenon is studied for unsteady flow of Walter's-B fluid subject to a consistent inclined magnetic field at an angle of inclination over the boundary of transverse xy-plane with fractional thermal transport. Non-singular and local fractional derivative is hauled in the constitutive equations for the thermal flux. Semi analytical solutions of the dimensionless temperature and velocity fields are recognized by using the Laplace inversion numerical algorithms Stehfest's and Tzou's. Temperature and rate of heat transfer for non-integer and integer order derivatives are computed. Finally, the influence of some flow parameters and fractional parameter α on the temperature and velocity fields are graphically underlined by using IMATHCAD software and discussed.

Keywords

• Walter's-B fluid
• Inclined magnetic field
• Heat source and chemical reaction
• Newtonian heating
• Fourier's law
• Caputo-Fabrizio fractional derivative