اجتہاد کی شرعی حیثیت اور عصر حاضر ميں اجتہاد کی عملی صورتیں

Ijtihad is an invaluable secondary source of the Muslim jurisprudence. In Islamic law, ijtihad refers to the independent interpretation of problems not precisely covered by the sacred scripture of Islam, Qur’an, and Prophetic traditions. The savants who undertake ijtihad must be firmly rooted in knowledge and savvy what the demands of the contemporary era are. Since new challenges call for innovative solutions, the faithful cannot genuinely live by Islam without their jurists deriving the laws of sharia from its sources.

Steady Flow of Fluids With Variable Viscosity

Nanofluids have wide range applications in processes involving heat transfer due to their proficient thermal conductivity. Such fluids exhibit substantial viscosity variation with temperature. This dissertation presents oblique stagnation point flow of variable viscosity nanofluid over a stretching surface. Porous medium, magnetic field, heat generation, thermal radiation and homogeneous-heterogeneous effects along with partial slip, thermal slip and convective surface are considered. Micro-rotation phenomenon is also fused with nanofluid flow comprising micropolar nanofluid. Nanofluid thermal conductivity is estimated by Maxwell-Garnett model, Hamilton Crosser thermal conductivity model is also employed when shape effects of nanoparticles are considered. Flow problems are first modeled and afterwards converted to non-linear system of ODEs via appropriate similarity transformations. Numerical solutions are obtained via stable and efficient Runge-Kutta-Fehlberg scheme with shooting quadrature and Keller-Box scheme. The impact of key emerging dimensionless parameters on non-dimensional normal, tangential velocity constituents, temperature, shear stress (at wall), heat flux along with streamlines distribution is visualized by graphs.