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مناقب
مناقب
ٹُر گئے کر کے مندڑا حال
وسدے ہاسے سجناں نال
سجناں باہجھوں دل کرلاندا
رو رو ہاڑے ترلے پاندا
ماہی جلدی مکھ وکھال
ٹُر گئے کر کے مندڑا حال
برصغیر میں محدثین کی خدمات حدیث: تاریخی و تجزیاتی جائزہ
After the Prophet r the Muslims all over the world associate themselves with him by following his pious deeds and acting upon his sayings (Hadith). The Muslims of the sub-continent have been very zealous in this respect and have done great job in this regard. In the subcontinent, the sayings of the Holy Prophet reached with Islam during the era of pious caliphs. In those days, according to some traditions, 25 companions of the Holy Prophet ﷺ Sahaba (R. A) and 42 Tabe-ien (those who had seen the Sahaba R. A i-e their successors) came to India and preached Islam. This preaching was continued by later Muslims and the rulers like Mohammad Bin Qasim and Mehmood Ghaznavi. The services of great Muhaddeseen (narrators and illustrators of the sayings of the Holy Prophet r like Musa Bin Yaqoob, Yazid Bin Abi Kabsha, Abu Musa Israeel Bin Musa and Abu Hafs Rabi Bin Sabih are note worthy. They provided local people the knowledge of Hadith. These scholars earned fame and prestige by their great works in this field. Shah Waliuallah wrote Mussffa and Maswwa, in subcontinent there are great many institutions like Jamia Salfiya Faisalabad, Jamia Ashrafia Lahore, Jamia Naeemia Lahore, Khair- ul-Madaras Multan, Jamia Mohammadia Gujranwala, Dar-ul-Hadith Delhi and Jamia Salfiya Banaras to teach the knowledge of Hadith.Boundary Layer Flows of Modified Second Grade Fluid over Stretching Surfaces With Heat Transfer
The study of boundary layer flows of non-Newtonian fluids is an important and challenging task in fluid mechanics. The recent decades saw a lot of interest in this area because of the fact that many important industrial fluids are non-Newtonian in their flow characteristics. The main aim of this thesis is to explore and analyze the boundary layer flow with heat transfer of a non-Newtonian fluid. Thus, this thesis revolves around one of the paramount subclass of non-Newtonian fluids namely the modified second grade fluid (MSGF). Despite of the diverse applicability of this fluid model in technological fields, not much study has been made on flow and heat transfer characteristics of MSGF. In view of this, the research presented in this thesis is carried out to fill up the existing gap in literature. Boundary layer equations for the flow and heat transfer of modified second grade fluid are bestowed in Cartesian as well as cylindrical polar coordinates. Additionally, the non-linear stretching surfaces are investigated keeping in view different geometries like stretching cylinder, radially stretching sheet and planar stretching sheet. Numerous effects of flow and heat transfer are incorporated namely the stagnation point flow, magnetohydrodynamic (MHD) flow, nanoparticles, mixed convection heat transfer, linear and non-linear thermal radiation, homogeneous-heterogeneous reactions, Newtonian heating and convective boundary conditions. The governing problems comprising of highly non-linear partial differential equations are simplified by suitable transformations into the corresponding ordinary differential equations. The resultant systems of equations are numerically handled by the Runge-Kutta Fehlberg scheme and bvp4c in MATLAB. The legitimacy of the numerical results is ensured by presenting a comparative study for special cases. The graphical and tabular illustrations are displayed for various pertinent parameters to obtain the physical insight of the problem. In addition, exact solutions are also calculated for few problems by considering special cases. One of the key observation is that the generalized second grade parameter strengthens the fluid velocity while diminishes the temperature of the fluid.Journals by Discipline
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