# Question 13) A boundary layer is a thin region (usually along a wall)in which viscous forces are significant and within which the flow is rotational. Consider a boundary layer growing along a thin flat plate. The flow is steady. The boundary layer thickness d (m) at any downstream distance x is a function of x (m), free-stream velocity V(m/s)', fluid properties fluid density p (kg m³), fluid viscosity µ (kgm.s), sound velocity c (m/s) and surface roughness & (m). i-Use the method of repeating variables to generate a dimensionless relationship between boundary layer thickness & (m) and other parameters. Show all your work in detail. ii-calculate the boundary layer thickness 8 (m) value for x=19 m, free-stream velocity V=180 (m/s)", fluid properties fluid density p=1.190 (kg/m³), fluid viscosity µ=1.890 x10\$ (kg/m.s), sound velocity c=345 (m/s) and surface roughness e=0.015m (m). What should the velocity of wind tunnel test the similar in wind tunnel at the same temperature and pressure for 1/10 scale flat plate model to provide same Re and Ma. what do you think about your finding, explain, comment?

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### Fluid Mechanics

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Question 13) A boundary layer is a thin region (usually along a wall)in which viscous forces are significant and within which the flow is rotational. Consider a boundary layer growing along a thin flat plate. The flow is steady. The boundary layer thickness d (m) at any downstream distance x is a function of x (m), free-stream velocity V(m/s)', fluid properties fluid density p (kg m³), fluid viscosity µ (kgm.s), sound velocity c (m/s) and surface roughness & (m). i-Use the method of repeating variables to generate a dimensionless relationship between boundary layer thickness & (m) and other parameters. Show all your work in detail. ii-calculate the boundary layer thickness 8 (m) value for x=19 m, free-stream velocity V=180 (m/s)", fluid properties fluid density p=1.190 (kg/m³), fluid viscosity µ=1.890 x10\$ (kg/m.s), sound velocity c=345 (m/s) and surface roughness e=0.015m (m). What should the velocity of wind tunnel test the similar in wind tunnel at the same temperature and pressure for 1/10 scale flat plate model to provide same Re and Ma. what do you think about your finding, explain, comment?