Many mechanisms can be responsible for the movement of fluid. These mechanisms includes the pressure gradient, movement of surface the fluid is resting upon or the surfaces the fluid is contained in and buoyancy force resulting due to density gradients. Of these, two important mechanisms are studied in this book i.e., the stretching of the surfaces and/or thermal buoyancy or both. These two basic mechanisms, surface motion due to stretching i.e. contracting/expanding walls and buoyancy force, determine the momentum and thermal transport processes for the problems. Considerable interest has been also arisen in these years regarding the flows caused by the buoyant forces such flows have promising applications in engineering such as drawing of wires, laments spinning, extrusion of metal, growth of crystals, continuous casting, fiberglass production, pulsating diaphragms modeling, and separation of isotopes, irrigation, sweet cooling or heating filtration and manufacturing of paper. Due to fluid complexity, it is impossible to provide unique governing linear partial differential equation describing the characteristics of all types of dusty fluids. So, these are discussed in this book.