ملازمت کے شرعی احکام: ایک تحقیقی جائزہ

In our society a large number of people are associated with employment ranging from a gatekeeper, soldier, peon, clerk to prime minister, chief of army staff (COAS) Journals, chief justice, secretary, chief minister, doctors and professors all are employees infect. Most of social problems are linked to them, if all of them do their work correctly and honestly then most of our issues can be solved easily. Furthermore growth and prosperity of our economic system is dependent on the betterment of employment. Nations who ever works and shows interest in improving the employment system are the one who pave road for their economic prosperity. As an ordinary person himself needs a worker, therefore if Islamic practices are promoted in different disciplines of employment in human life then Islamic orders will revive and its effect will be seen in other departments as well. Therefore this study focuses and tends to guide Muslims working in employment sector in our society. This will help employed persons not only to up bring the Islamic teachings as well as can be helpful for human beings to guide them about Islam. It will act as a set of guidance for people working in government and non-government organizations, so that an employee could earn a true living under sharia orders and be helpful in promoting and development of a better society.

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.