Impact of MHD and Mass Transpiration on Rivlin–Ericksen Liquid Flow over a Stretching Sheet in a Porous Media with Thermal Communication

• Published in: Transport in porous media Vol. 142; no. 1-2; pp. 353 - 381
• Main Authors: Vishalakshi, A. B., Mahabaleshwar, U. S., Sheikhnejad, Yahya
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.03.2022; Springer Nature B.V
• Subjects: Benchmarks; Civil Engineering; Classical and Continuum Physics; Closed form solutions; Conversion; Differential thermal analysis; Earth and Environmental Science; Earth Sciences; Elastic deformation; Fluid dynamics; Fluid flow; Geotechnical Engineering & Applied Earth Sciences; Heat; Heat generation; Heat transfer; Hydrogeology; Hydrology/Water Resources; Industrial Chemistry/Chemical Engineering; Liquid flow; Magnetic fields; Magnetohydrodynamics; Mass transfer; Mathematical analysis; Mathematical models; Numerical analysis; Ordinary differential equations; Partial differential equations; Radiation; Species diffusion; Stretching; Surface temperature; Temperature effects; Thermal radiation; Transformations (mathematics); Transpiration; Two dimensional flow; MHD; Kummer’s function; Porous medium; Differential equations; Radiation; Rivlin–Ericksen fluid
• ISSN: 0169-3913; 1573-1634
• DOI: 10.1007/s11242-022-01756-w

A steady-state, two-dimensional flow of Rivlin-Ericksen magnetohydrodynamics (MHD) fluid flow induced by stretching of the sheet of porous medium considering heat and mass transfer is investigated in the present analysis. The fluid flow is influenced by a uniform magnetic field. The inverse Darcy model, as well as thermohydrodynamic characteristics, is taken into account. Within thermal analysis effects of temperature-dependent heat source/sink, viscous dissipation, heat generation due to the elastic deformation, and thermal radiation are considered. Mass transfer is concentrated to chemically reactive diffusive species by means of first-order chemical conversion rate. The similarity transformations are employed to convert highly non-linear governing partial differential equations into a set of ordinary differential equations. Then the analytical results of the temperature and mass transfer equations are expressed in the form of Kummer’s function for two different cases namely prescribed surface temperature and prescribed heat flux cases. The presented closed-form analytical solution of this research can be used as a benchmark solution for the results of numerical methods and can find possible industrial and technological applications in fluid-based systems involving shrinkable/stretchable materials. A steady-state 2D flow of Rivlin-Ericksen MHD fluid flow induced by stretching of the sheet of porous medium considering heat and mass transfer is investigated in the present analysis. The fluid flow is influenced by a uniform magnetic field. The inverse Darcy model, as well as thermo-hydrodynamic characteristics, are taken into account. Within thermal analysis effects of temperature-dependent heat source/sink, viscous dissipation, heat generation due to the elastic deformation, and thermal radiation are considered. Mass transfer is concentrated to chemically reactive diffusive species by means of first-order chemical conversion rate. The similarity transformations are employed to convert highly non-linear governing partial differential equations into a set of ordinary differential equations. Then the analytical results of the temperature and mass transfer equations are expressed in the form of Kummer’s function for two different cases namely prescribed surface temperature and prescribed heat flux cases. The presented closed-form analytical solution of this research can be used as a benchmark solution for the results of numerical methods and can find possible industrial and technological applications in fluid-based systems involving shrinkable/stretchable materials.