Formulating the behavior of thermal radiation and magnetic dipole effects on Darcy–Forchheimer grasped ferrofluid flow

• Published in: Canadian journal of physics Vol. 97; no. 9; pp. 938 - 949
• Main Authors: Hussain, Azad, Muneer, Zainia, Malik, M.Y., Ali, Shoaib
• Format: Journal Article
• Language: English
• Published: Ottawa NRC Research Press 01.09.2019; Canadian Science Publishing NRC Research Press
• Subjects: Boundary layers; Carreau fluid; Curie temperature; Darcy–Forchheimer flow; Differential equations; dipôle magnétique; effets de radiations thermiques; ferrofluid; ferrofluide; Ferrofluids; flot de Darcy–Forchheimer; Flow index; Heat transfer; Inspection; magnetic dipole; Magnetic dipoles; Magnetic permeability; Magnetism; Occupancy; Parallel plates; Permeability; Physics; Porous media; Prandtl number; Radiation; sensor surface; Sensors; Studies; surface de senseur; Thermal conductivity; Thermal radiation; thermal radiation effects; Transformations; Velocity; Velocity distribution
• ISSN: 0008-4204; 1208-6045
• DOI: 10.1139/cjp-2018-0465

In this article a boundary layer analysis has been carried out to examine the Darcy–Forchheimer flow of Carreau ferrofluid through a sensor duct between two parallel plates. The top plate is assumed to be squeezed whereas the lower plate is at rest. Inspection has been accomplished in the occupancy of thermal radiation and magnetic dipole. Thermal conductivity is also considered, which is determined by temperature. After incorporating these speculations, dimensional equations supervising the flow and heat transfer distinctions are transfigured into a dimensionless system of differential equations by implementing similarity transformations. The result of squeezed flow index b, ferrohydrodynamic interaction β ∗ , porous medium permeability parameter S 1 , local inertia coefficient S 2 , Eckert number λ, Prandtl number Pr, Curie temperature g, and Weissenberg number W e on velocity and temperature curves are observed. The numerical solution for boundary layer momentum and energy equations is obtained. The present analysis demonstrates that velocity profile significantly drops owing to a rise in Weissenberg number.