I would like to thank Almighty Allah, the most beneficent and merciful, to give me the opportunity to complete my this work successfully. I wish to express my heartiest gratitude to my supervisor Dr. Cong-Feng Qiao, Professor of the College of Physical Sciences, (GUCAS), for his invaluable advice and encouraging support. I wish to thank my Co-Supervisor and advisor Dr. Yun-Song Piao for the inspiration, support and guidance, for the infinite degrees of freedom, and for proving that success in science is not irreconcilable with having a life. He not only supervised me to materialize the...

Although the Newtonian fluids has been a topic of scientific research during many years. But the study of unsteady rotational fluids has received much attention due to its practical applications. The partial differential equations arising in the study of viscous rotating fluids offer many challenges not only to physicist and numerical analysts but also mathematicians alike. The main aim here is to develop the analytical series solution using homotopy analysis method. In this particular book we emphasized on a unsteady flow of viscous rotating fluid for linear stretching sheet.