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Heat and mass transfer on MHD squeezing flow through the porous media using the Bernoulli wavelet method

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Abstract

The squeezing of an incompressible magnetohydrodynamic (MHD) fluid between two parallel plates is a primary type of flow that is commonly observed in several hydrodynamical tools and machines. Compression and injection molding, polymer processing and modelling of lubrication systems are several practical examples of squeezing flows. The aim of the present work is to compute the heat and mass transfer on MHD squeezing flow of a viscous fluid through a porous medium using Bernoulli wavelet numerical method. Mathematically simulating the flow results in a highly nonlinear coupled ordinary differential equation (ODE) by combining conservation laws and similarity transformations. Our outcome illustrates that the Bernoulli wavelet method is immensely capable and accessible for finding solutions to this type of coupled nonlinear ODEs. The results are in very good agreement for coupled nonlinear ODEs in engineering applications. The plots clarify and thoroughly illustrate the flow behaviour when the physical factors are involved. The normalisation of the flow behaviour by the magnetic field show that it may be utilised to control various flows. Moreover, the squeeze number affects the velocity, temperature and concentration profiles, which is a crucial factor in these kinds of issues.

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Acknowledgements

The authors wish to thank the reviewers for their useful comments that helped in improving the paper significantly.

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Authors and Affiliations

  1. Department of Mathematics, Davangere University, Davangere, 577 007, India

    K R Raghunatha, Y Vinod, Suma Nagendrappa Nagappanavar &  Sangamesh

Authors
  1. K R Raghunatha
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  2. Y Vinod
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  3. Suma Nagendrappa Nagappanavar
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  4. Sangamesh
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Correspondence to Y Vinod.

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Raghunatha, K.R., Vinod, Y., Nagappanavar, S.N. et al. Heat and mass transfer on MHD squeezing flow through the porous media using the Bernoulli wavelet method. Pramana - J Phys 98, 74 (2024). https://doi.org/10.1007/s12043-024-02736-z

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