### Abstract

Casson fluid flow has many practical applications such as food processing, metallurgy, drilling operations and bio-engineering operations. In this paper, we study Casson fluid flow through a plate with a convective boundary condition at the surface and quantify the effects of suction/injection, velocity ratio, and Soret and Dufour effects. Firstly we used a similarity transformation to change the governing equations to ordinary differential equations which were then solved numerically. The effect of the rheological parameters on the velocity, temperature, and concentration with skin friction, and heat and mass transfer are shown graphically and discussed briefly. It is observed that the velocity of the fluid at the surface decreases with increase of the velocity ratio while the nature of the flow is in opposite characteristics. The local Nusselt number decreases with increase in the velocity ratio. Skin friction at the surface is enhanced by buoyancy ratio and Casson number. Due to injection of the fluid in the system, the mass transfer rate at the surface increases while it decreases with the velocity ratio parameter.

Original language | English |
---|---|

Pages (from-to) | 1295-1304 |

Number of pages | 10 |

Journal | Alexandria Engineering Journal |

Volume | 55 |

Issue number | 2 |

DOIs | |

Publication status | Published - Jun 1 2016 |

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### All Science Journal Classification (ASJC) codes

- Engineering(all)

### Cite this

*Alexandria Engineering Journal*,

*55*(2), 1295-1304. https://doi.org/10.1016/j.aej.2016.04.020

}

*Alexandria Engineering Journal*, vol. 55, no. 2, pp. 1295-1304. https://doi.org/10.1016/j.aej.2016.04.020

**Non-linear thermal convection in a Casson fluid flow over a horizontal plate with convective boundary condition.** / Shaw, Sachin; Mahanta, Ganeswar; Sibanda, Precious.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Non-linear thermal convection in a Casson fluid flow over a horizontal plate with convective boundary condition

AU - Shaw, Sachin

AU - Mahanta, Ganeswar

AU - Sibanda, Precious

PY - 2016/6/1

Y1 - 2016/6/1

N2 - Casson fluid flow has many practical applications such as food processing, metallurgy, drilling operations and bio-engineering operations. In this paper, we study Casson fluid flow through a plate with a convective boundary condition at the surface and quantify the effects of suction/injection, velocity ratio, and Soret and Dufour effects. Firstly we used a similarity transformation to change the governing equations to ordinary differential equations which were then solved numerically. The effect of the rheological parameters on the velocity, temperature, and concentration with skin friction, and heat and mass transfer are shown graphically and discussed briefly. It is observed that the velocity of the fluid at the surface decreases with increase of the velocity ratio while the nature of the flow is in opposite characteristics. The local Nusselt number decreases with increase in the velocity ratio. Skin friction at the surface is enhanced by buoyancy ratio and Casson number. Due to injection of the fluid in the system, the mass transfer rate at the surface increases while it decreases with the velocity ratio parameter.

AB - Casson fluid flow has many practical applications such as food processing, metallurgy, drilling operations and bio-engineering operations. In this paper, we study Casson fluid flow through a plate with a convective boundary condition at the surface and quantify the effects of suction/injection, velocity ratio, and Soret and Dufour effects. Firstly we used a similarity transformation to change the governing equations to ordinary differential equations which were then solved numerically. The effect of the rheological parameters on the velocity, temperature, and concentration with skin friction, and heat and mass transfer are shown graphically and discussed briefly. It is observed that the velocity of the fluid at the surface decreases with increase of the velocity ratio while the nature of the flow is in opposite characteristics. The local Nusselt number decreases with increase in the velocity ratio. Skin friction at the surface is enhanced by buoyancy ratio and Casson number. Due to injection of the fluid in the system, the mass transfer rate at the surface increases while it decreases with the velocity ratio parameter.

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U2 - 10.1016/j.aej.2016.04.020

DO - 10.1016/j.aej.2016.04.020

M3 - Article

VL - 55

SP - 1295

EP - 1304

JO - AEJ - Alexandria Engineering Journal

JF - AEJ - Alexandria Engineering Journal

SN - 1110-0168

IS - 2

ER -