Abstract
Time-independent Walters liquid motion past a vertical stretching plate has been studied numerically using MATLAB built-in bvp4c solver technique. Fluid flow is governed by buoyancy force, thermal diffusion and Brownian diffusion. Buoyancy force leads to natural free convection. Conservation laws are represented by partial differential equations. The paper is contributed to find appropriate similarity transformation using Lie group analysis for converting the partial differential equations to its relevant ordinary differential equations. Numerical technique “MATLAB built-in bvp4c solver” has been used to solve the problem and results are discussed graphically. Emphasis is given on the influences of thermal diffusion and Brownian motion parameters on the flow characteristics. Further, both diffusion rates of heat and mass transfers are portrayed in this paper.
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Dey, D. (2021). Mathematical Modelling and Analysis of Walters Liquid Motion with Brownian Diffusion. In: Hassanien, A.E., Bhattacharyya, S., Chakrabati, S., Bhattacharya, A., Dutta, S. (eds) Emerging Technologies in Data Mining and Information Security. Advances in Intelligent Systems and Computing, vol 1286. Springer, Singapore. https://doi.org/10.1007/978-981-15-9927-9_1
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DOI: https://doi.org/10.1007/978-981-15-9927-9_1
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