A nonlinear mathematical analysis for magneto-hyperbolic-tangent liquid featuring simultaneous aspects of magnetic field, heat source and thermal stratification

In current communication, we opted four constant (hyperbolic-tangent) liquid model highlighting shear thinning attributes. Consideration of this model together with MHD (magneto-hydrodynamic) is of prodigious importance owing to diverse industrial utilizations. Besides, MHD has several usages in heat exchangers fabrication, space vehicle strength, thermal fortification, polymer technology, power generators, petroleum industry, crude oil purification and fluid dews sprigs. Such implications motivated us to endeavor further towards hydromagnetic characteristics under convective and stratified constraints. Heat sink or source and radiation aspects elaborate heat transportation mechanism. Non-linear PDEs are transfigured to ODEs via implementation of transformation procedure. Homotopy method is chosen for simulations. Attributes of dimensionless factors are highlighted through graphs. We found lower velocity subject to higher Hartman number estimations.