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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.