International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2570

Article in Press

Dual solutions for the Modified Fourier and Fick,s theories for Carreau nanofluid

Humara Sardar

  •  Received: 28 November 2019
  •  Accepted: 31 December 2019
In the current framework, an investigation is carried out on the flow of dual solutions of Car- reau nanofluids in the presence of Cattaneo-Christov double diffusion with focus on heat and mass transfer which includes the effects of Brownian motion and thermophoresis parameter. A nonlin- early shrinking sheet has been used to create the flow. The thermal and concentration diffusions are considered by introducing Cattaneo-Christov fluxes. This paper provides information about the energy and concentration equations which are constructed with the help of Cattaneo-Christov double diffusion theory in the presence of Brownian motion parameter and thermophoresis parame- ter. The study showed the local similarity variables are used to renovate the governing equations into a set of nonlinear ordinary differential equations. The ascending differential system which is collected of momentum, temperature and concentration equations is preserved through a nu- merical approach called the Runge-Kutta Fehlberg integration technique. The study reveals that the multiple solutions occur for the different vital physical parameters for example suction para- meter s, Weissenberg number V e, Prandtl number P r, velocity slip parameter J, viscosity ratio parameter f3*, non-dimensional thermal relaxation time Je, Brownian motion parameter N b and Thermophoresis parameter N t.

Keywords: Dual solutions, Carreau nanofluid, MHD, Stagnation point, Shrinking sheet, Velocity slip, Fourier and Fick,s theories.