Chemically reactive solute transfer in a moving fluid over a moving surface
 Swati Mukhopadhyay,
 Kuppalapalle Vajravelu,
 Robert A. Van Gorder
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The distribution of a solute, undergoing a chemical reaction, between a moving surface and a moving stream is analyzed in this paper: uniform concentration at the boundary is assumed. The governing nonlinear partial differential equations are first transformed into nonlinear ordinary differential equations (ODEs) by a similarity transform, and then the ODEs are solved numerically by a shooting method. The obtained numerical results are compared with the known results in the literature in order to demonstrate the validity of the solutions. Furthermore, analytical results are provided for some parameter regimes. The effects of the governing parameters on the flow and chemical fields are examined. The numerical results indicate that dual solutions exist when the sheet and the free stream move in the opposite directions. These results are in agreement with Ishak et al. (Chem Eng J 148:63–67, 2009), where the results were obtained without chemical reaction. The concentration boundary layer thickness decreases with an increase in the Schmidt number and reaction rate parameter. Moreover, mass absorption at the plate is noted in the case of a constructive chemical reaction.
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 Title
 Chemically reactive solute transfer in a moving fluid over a moving surface
 Journal

Acta Mechanica
Volume 224, Issue 3 , pp 513523
 Cover Date
 20130301
 DOI
 10.1007/s0070701207643
 Print ISSN
 00015970
 Online ISSN
 16196937
 Publisher
 Springer Vienna
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 Authors

 Swati Mukhopadhyay ^{(1)}
 Kuppalapalle Vajravelu ^{(2)} ^{(3)}
 Robert A. Van Gorder ^{(3)}
 Author Affiliations

 1. Department of Mathematics, The University of Burdwan, Burdwan, 713104, WB, India
 2. Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, Orlando, FL, 328161364, USA
 3. Department of Mathematics, University of Central Florida, Orlando, FL, 328161364, USA