Quadratic convective flow of radiated nano-Jeffrey liquid subject to multiple convective conditions and Cattaneo-Christov double diffusion

• Published in: Applied mathematics and mechanics Vol. 39; no. 9; pp. 1311 - 1326
• Main Authors: Sampath Kumar, P. B., Mahanthesh, B., Gireesha, B. J., Shehzad, S. A.
• Format: Journal Article
• Language: English
• Published: Shanghai Shanghai University 01.09.2018; Springer Nature B.V; Department of Studies and Research in Mathematics, Kuvempu University, Shimoga 577451, India%Department of Mathematics, Christ University, Bangalore 560029, India%Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, Pakistan
• Edition: English ed.
• Subjects: Applications of Mathematics; Boundary layers; Brownian motion; Classical Mechanics; Convection; Convective flow; Deborah number; Differential equations; Fluid dynamics; Fluid flow; Fluid- and Aerodynamics; Heat flux; Magnetohydrodynamics; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nanoparticles; Ordinary differential equations; Partial Differential Equations; Runge-Kutta method; Brownian motion; thermophoretic; 76Bxx; 76Sxx; Jeffrey liquid; 76A05; convective condition; nonlinear convection; nanoliquid; O361
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-018-2362-9

A nonlinear flow of Jeffrey liquid with Cattaneo-Christov heat flux is investigated in the presence of nanoparticles. The features of thermophoretic and Brownian movement are retained. The effects of nonlinear radiation, magnetohydrodynamic (MHD), and convective conditions are accounted. The conversion of governing equations into ordinary differential equations is prepared via stretching transformations. The consequent equations are solved using the Runge-Kutta-Fehlberg (RKF) method. Impacts of physical constraints on the liquid velocity, the temperature, and the nanoparticle volume fraction are analyzed through graphical illustrations. It is established that the velocity of the liquid and its associated boundary layer width increase with the mixed convection parameter and the Deborah number.