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Applied Mathematics and Mechanics

, Volume 39, Issue 11, pp 1617–1630 | Cite as

Investigation of generalized Fick’s and Fourier’s laws in the second-grade fluid flow

  • T. Hayat
  • S. Ahmad
  • M. I. Khan
  • A. Alsaedi
Article
  • 19 Downloads

Abstract

The second-grade fluid flow due to a rotating porous stretchable disk is modeled and analyzed. A porous medium is characterized by the Darcy relation. The heat and mass transport are characterized through Cattaneo-Christov double diffusions. The thermal and solutal stratifications at the surface are also accounted. The relevant nonlinear ordinary differential systems after using appropriate transformations are solved for the solutions with the homotopy analysis method (HAM). The effects of various involved variables on the temperature, velocity, concentration, skin friction, mass transfer rate, and heat transfer rate are discussed through graphs. From the obtained results, decreasing tendencies for the radial, axial, and tangential velocities are observed. Temperature is a decreasing function of the Reynolds number, thermal relaxation parameter, and Prandtl number. Moreover, the mass diffusivity decreases with the Schmidt number.

Key words

second-grade liquid thermal and solutal stratification Cattaneo-Christov double diffusion rotating stretchable disk 

Chinese Library Classification

O361 

2010 Mathematics Subject Classification

75A10 

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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsQuaid-i-Azam University 45320IslamabadPakistan
  2. 2.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

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