Volume 47, Issue 1 pp. 111-125
RESEARCH ARTICLE

Influence of chemically reactive species and a volumetric heat source or sink on mixed convection over an exponentially decreasing mainstream

Prabhugouda M. Patil

Prabhugouda M. Patil

Department of Mathematics, Karnatak University, Pavate Nagar, Dharwad-580 003, Karnataka, India

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Nafisabanu Kumbarwadi

Nafisabanu Kumbarwadi

Department of Mathematics, Karnatak University, Pavate Nagar, Dharwad-580 003, Karnataka, India

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Ebrahim Momoniat

Ebrahim Momoniat

DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), School of Computer Science and Applied Mathematics, University of Witwatersrand, Private Bag-3, Wits-2050, Johannesburg, South Africa

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First published: 11 August 2017
Citations: 4

Abstract

In this paper, we investigate mixed convection flow over an exponentially decreasing freestream velocity in presence of nonlinear chemically reactive species and a volumetric heat source or sink. Nonsimilar transformations are used to reduce the boundary layer equations into dimensionless equations and are further solved by the implicit finite difference scheme in combination with the quasi-linearization technique. The influence of various governing parameters such as the volumetric heat source/sink parameter (Q), the ratio of buoyancy forces (N), the Richardson number (Ri), and the chemical reaction parameter (Δ) on the flow, thermal and species concentration fields are discussed and presented in terms of graphs. The numerical investigation reveals that the increase in volumetric heat source/sink parameter Q increases the temperature profile about 69% in presence of injection and the concentration profile decreases about 56% for urn:x-wiley:10992871:media:htj21294:htj21294-math-0001 and increases around 53% for urn:x-wiley:10992871:media:htj21294:htj21294-math-0002 as n increases from 1 to 2.

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