طلب معاش کی اہمیت اور اس کی ترقی کے اسباب قرآن اور سنت کی روشنی میں

Trade has been considered as the most important mode of caring livelihood.  Trade is considered as sole biggest medium because all other modes carry secondary position, as they all derive from trade in one way or the other. That’s way crafts and services have gained much success in this era of machinery and technology. In spite of all this trade assumes the same highest positions in this era too. Islam has not left trade on its own but has framed principles. These principles are not only helpful on individual scale but they give benefits to whole community. It benefits in this world and hereafter of its users. Islam is an eternal religion, so it addresses all problems of this era and of upcoming in its teachings. We can gain both worldly and hereafter benefits by acting upon Islamic principles. We have glorious examples of past traders who visited the whole world in order to carry trade. They trade far and wide on the basis of Islamic principles. They not only maintained their businesses, but also preached Islam through their just dealings and humble behavior. Their customers or the people who come into their contact were so impressed that they not only became Muslims but also changed their traditions, Customs, culture and even languages. This article discusses the reasons that explicate the beauty of Trade.

Analytical Analysis of Squeezing Flows

This thesis covers the investigation of axisymmetric squeezing flows under slip and no slip boundary conditions. In the process, the flow of a fluid in a porous medium between two parallel plates approaching each other symmetrically has also been studied. The stream functions u r ( r , z , t ) = 1 ¶ y 1 ¶ y and u z ( r , z , t ) = - r ¶ z r ¶ r and the transformation function y ( r , z ) = r 2 F ( z ) were used to transfer the Navier-Stockes equations into an ordinary nonlinear differential equation along with the boundary conditions. To solve these nonlinear problems, different analytical methods that are; the Adomian decomposition method (ADM), the new iterative method (NIM), the homotopy perturbation method (HPM), the optimal homotopy asymptotic method (OHAM) and the differential transform method (DTM) are applied and velocity profiles for various parameters of Newtonian fluids are obtained. The velocity of plates and its effects on fluid velocity are established. The above mentioned methods are based on Taylor’s series but their line of action is different and one may face serious problems of convergence in their application. In this case, the convergence of the approximating series solution is discussed and the mathematica built-in code NDSolve is used to validate the results of analytical solutions. The results show that OHAM gives a better approximation under the conditions on which the research is premised.