Numerical Study of Cattaneo-Christov Heat Flux Model for Viscoelastic Flow Due to an Exponentially Stretching Surface

• Published in: PloS one Vol. 10; no. 9; p. e0137363
• Main Authors: Ahmad Khan, Junaid, Mustafa, M, Hayat, T, Alsaedi, A
• Format: Journal Article
• Language: English
• Published: United States Public Library of Science 01.09.2015; Public Library of Science (PLoS)
• Subjects: Applied mathematics; Boundary conditions; Boundary layer equations; Boundary layers; Boundary layers (Fluid dynamics); Chemical reactions; Continuous casting; Cooling; Elasticity; Energy equation; Fluid; Fluids; Fourier law; Heat conductivity; Heat flux; Heat transfer; Mathematical models; Maxwell fluids; Measurement; Methods; Models, Theoretical; Newtonian fluids; Numerical analysis; Relaxation time; Runge-Kutta method; Shooting; Similarity; Similarity solutions; Stretching; Surface Properties; Thermal relaxation; Viscoelasticity; Viscosity; Saudi Arabia; Islamabad Pakistan; Pakistan
• ISSN: 1932-6203; 1932-6203
• DOI: 10.1371/journal.pone.0137363

This work deals with the flow and heat transfer in upper-convected Maxwell fluid above an exponentially stretching surface. Cattaneo-Christov heat flux model is employed for the formulation of the energy equation. This model can predict the effects of thermal relaxation time on the boundary layer. Similarity approach is utilized to normalize the governing boundary layer equations. Local similarity solutions are achieved by shooting approach together with fourth-fifth-order Runge-Kutta integration technique and Newton's method. Our computations reveal that fluid temperature has inverse relationship with the thermal relaxation time. Further the fluid velocity is a decreasing function of the fluid relaxation time. A comparison of Fourier's law and the Cattaneo-Christov's law is also presented. Present attempt even in the case of Newtonian fluid is not yet available in the literature.