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Cattaneo-Christov double diffusions (CCDD) in entropy optimized magnetized second grade nanofluid with variable thermal conductivity and mass diffusivity

Yu‐Ming ChuDepartment of Mathematics, Huzhou University, Huzhou 313000, PR ChinaFaisal ShahDepartment of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, PakistanM. Ijaz KhanDepartment of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, PakistanSeifedine KadryDepartment of Mathematics and Computer Science, Beirut Arab University, Beirut, LebanonZahra AbdelmalekFaculty of Medicine, Duy Tan University, Da Nang 550000, VietnamWaqar Azeem KhanSchool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
2020en
ABI

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In this research communication, mathematical model is developed to scrutinize the two-dimensional magnetohydrodynamic boundary layer flow of non-Newtonian nanofluid (second grade) toward a permeable and stretchable Riga plate surface. To examined the thermal and solutal relaxation characteristics the proposed model of Cattaneo-Christov double diffusions (CCDD) model is supposed. Furthermore, variable thermal conductivity and variable mass diffusivity are accounted. In addition, the convective condition of heat transfer is involved. The concept of entropy generation is also highlighted. Formulation also consists of thermal radiation, mixed convection and thermophoresis. The resulting problems are computed by modern approach known as optimal homotopy analysis method (OHAM). OHAM is a powerful method to used for the series solution of highly non-linear equations in comparison to other analytical and numerical methods. Total square residual error is computed. Velocity distribution enhances for second grade fluid parameter but reverse trend is seen for larger estimation of inverse Darcy number. Temperature profile increases for larger estimation of thermal relaxation parameter and characterize temperature (ɛ1). Nanoparticles concentration decays for boost values of solutal relaxation parameter and characterize concentration (ɛ2). Physical arguments for important parameters of interest are organized.

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