Examining stagnation-point flow impinging on a deforming cylinder in Reiner-Rivlin fluid with integrated heat and mass transfer

• Published in: Case studies in thermal engineering Vol. 60; p. 104598
• Main Authors: Cham, Alhagie, Mustafa, M.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01-08-2024; Elsevier
• Subjects: Boundary layer approximation; Deforming cylinder; Entropy production; Heat and mass transfer; Reiner-Rivlin model; Self-similar solution; Stagnation-point flow; Heat and mass transfer; Deforming cylinder; Self-similar solution; Boundary layer approximation; Stagnation-point flow; Entropy production; Reiner-Rivlin model
• ISSN: 2214-157X; 2214-157X
• DOI: 10.1016/j.csite.2024.104598

Here the Reiner-Rivlin model is applied to explore non-Newtonian flow in stagnation-point region around a stretching cylinder. Under the influence of viscous heating and thermos-diffusion, the phenomena of combined heat and mass transport are investigated. To explore the intrinsic irreversible nature of transport phenomena, the current work incorporates an analysis of entropy generation. Additionally, prescribed wall temperature and concentration are taken into consideration when developing the computational framework, and it will be shown later that these assumptions are essential to achieving self-similar analysis. Numerical computations are developed by the MATLAB tool “bvp4c” while analytical solutions are found by the optimal homotopy approach embedded in the routine “BVPh 2.0” of MATHEMATICA. For a reasonable choice of embedded parameters, both techniques produce the same numerical results. For various regulating parameters, the importance of curvature effects on the boundary layers is explained. Flow visualization utilizing streamlines and isotherms reveals interesting patterns for both Newtonian and non-Newtonian flows. The force required by the stretching cylinder is analyzed by evaluating skin friction coefficient, in the case of Reiner-Rivlin fluid. Furthermore, surface cooling rate and mass flux are scrutinized graphically and in tabular form. The cooling rate of the cylindrical boundary is higher than that of the flat plate boundary. Furthermore, a noticeable reduction in surface cooling rate is found for increasing values of Reiner-Rivlin fluid parameter.