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مولانا صلاح الدین احمد

مولانا صلاح الدین احمد صاحب
مولانا صلاح الدین احمد صاحب اردو کے صاحب طرز ادیب بلکہ ادیب گر تھے، ان کے فیضِ تربیت سے بہت سے نوجوانوں میں اردو زبان و ادب کا صحیح مذاق پیدا ہوا، ان کی پوری زندگی علم و ادب کی خدمت میں گذری، وہ بجائے خود ایک ’’ادبی دنیا‘‘ تھے، ان کا نام اردو ادب کی تاریخ میں ہمیشہ زندہ رہے گا، اﷲ تعالیٰ ان تینوں اصحاب کمال کی مغفرت فرمائے۔
(شاہ معین الدین ندوی، اگست ۱۹۶۴ء)

 

قانون ضرورت: اسلامی اور مغربی نظریات کا تعارف اور مقارنہ

Mankind among the other creatures is a superior creation of Allah. Though he has been gifted and empowered with strength and logic, yet at times he becomes vulnerable or unfortified during his life span. To handle and manage such weak events and moments of life, Allah has laid down a law of necessity upon him. Since Islam is the religion of ease, comfort and compassion in all matters, therefore on the one hand it provides the regular course of system for the usual and routine matters, while on the other hand it promulgates the law of necessity for unusual and extra ordinary matters. The Western legal system also recognizes such concept of law, but as compared to Islamic concept of law of necessity it does not cover all the aspects of human vulnerability. This paper puts forth a discourse that how this exceptional segment of law can be applied and what is the difference between the Islamic concept of law of necessity and that of which the western legal system has.

Some Flows of Non-Newtonian Fluids

This work presents new results regarding the behavior of some non-Newtonian fluids into different circumstances. Chapter 1 presents the preliminary concepts regarding Newtonian and non-Newtonian fluids, the constitutive equations and the equations of motion and integral transforms. New exact solutions for the velocity field and the shear stress corresponding to some flows of ordinary and generalized Maxwell fluids, ordinary second grade and Oldroyd-B fluids have been established. In chapter 2, by means of the Laplace transform, we have established new exact solutions corresponding to Stokes’ type flows for ordinary Maxwell fluids with slip boundary conditions. We obtained the velocity field corresponding to both cases with slip and non-slip conditions, for Maxwell and viscous Newtonian fluids . Also, the exact and approximate solutions are compared and a good agreement is found. In chapter 3, some new exact analytical solutions for Stokes’ first problem of Maxwell fluid with fractional derivative approach are established. The obtained so- lutions for the velocity field and shear stress, written in terms of generalized G − Lorenzo − Hartleyf unctions, are presented as a sum of the similar Newtonian solu- tions and the corresponding non-Newtonian contributions. Chapter 4 contains exact solutions for the helical flow of a second grade fluid, between two infinite coaxial circular cylinders. Solutions are presented in series form, in terms of Bessel functions and they are written as a sum of large-time and transient solutions. Lastly, chapter 5 is devoted to the study of unsteady flow of an Oldroyd-B fluid through the infinite circular cylinder on which a sinusoidal azimuthal tension is given. Solutions, obtained by means of the Hankel and Laplace transforms, are written as a sum of large-time and transient solutions. The corresponding solutions for Maxwell and Newtonian fluids are obtained as limiting cases.
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