FLUID DYNAMICS AND TURBOMACHINES MODULE 1 : TUTORIAL - 01 Illustrates the representation of flow field Identify the flow field expressed as where and are the = ( (x + z) / t) î + (z - x, y z ῡ y) ĵ, coordinates and is the time, as steady or unsteady and its dimension. t Steady and 2 D Unsteady and 2 D Steady and 3 D Unsteady and 3 D Illustrates the calculation of shear stress from a velocity profile Q2. shows a liquid flowing down an inclined plane. This may represent a number of Figure 2 physical situations, one being the flow of gasoline down the walls of an engine manifold. Assuming the liquid is Newtonian fluid, find the shear stress at the fluid-solid interface (y=0), at and at the (y The velocity profile is given as y = Y/2 = Y). “free surface” , where is a constant and is the thickness of the liquid layer. U Y The shear stress at the fluid-solid interface (y=0), at and at the (y are y = Y/2 = Y) “free surface” respectively HINT For a Newtonian fluid , where is the liquid dynamic viscosity. μ Illustrates a common assumption for the velocity profile in small clearances and the development of a “working formula” Q3. A concentric cylinder viscometer is a device used to measure the absolute viscosity of fluids. illustrates the construction of device. The fluid is contained between a fixed Figure 3 outer cylinder and an inner cylinder that is free to rotate. The application of torque causes T
FLUID DYNAMICS AND TURBOMACHINES MODULE 1 : TUTORIAL - 01 Illustrates the representation of flow field Identify the flow field expressed as ῡ = ( (x + z) / t) î + (z - y) ĵ, where x, y and z are the coordinates and t is the time, as steady or unsteady and its dimension. Steady and 2 D Unsteady and 2 D Steady and 3 D Unsteady and 3 D Illustrates the calculation of shear stress from a velocity profile Q2. Figure 2 shows a liquid flowing down an inclined plane. This may represent a number of physical situations, one being the flow of gasoline down the walls of an engine manifold. Assuming the liquid is Newtonian fluid, find the shear stress at the fluid-solid interface (y=0), at y = Y/2 and at the “free surface” (y = Y). The velocity profile is given as , where U is a constant and Y is the thickness of the liquid layer. The shear stress at the fluid-solid interface (y=0), at y = Y/2 and at the “free surface” (y = Y) are respectively HINT For a Newtonian fluid , where μ is the liquid dynamic viscosity. Illustrates a common assumption for the velocity profile in small clearances and the development of a “working formula” Q3. A concentric cylinder viscometer is a device used to measure the absolute viscosity of fluids. Figure 3 illustrates the construction of device. The fluid is contained between a fixed outer cylinder and an inner cylinder that is free to rotate. The application of torque T causes
Week1_Q.docx