If you were asked to determine a boundary layer height for a given flow at a...

If you were asked to determine a boundary layer height for a given flow at a certain location, which method would you select (approaches may be order-of-magnitude, differential, integral, etc). Describe the reasons for your selection.

Expert Solution

Order of magnitude analysis is the simplest to solve but just give a rough estimate of the value. The differential method is a more standard approach, which reduced a 2nd order differential equation while analysing boundary layer flow. Now the solution for this differential equation is easy for simple cases like flat plate but for more complex geometry Integral method is a better approach as it is inherently more conservitive than differential method. However, the key for the success of integral method is to use a much practical velocity profile. Considering all the advantages and disadvantages the choice would be Integral approach.

samet mamat answered 2 years ago

Compare the maximum thickness of the boundary layer that develops due to uniform flow past a...

Compare the maximum thickness of the boundary layer that develops due to uniform flow past a flat plate when the fluid is (a) air, (b) water, (c) glycerol. The plate length is 3 m and the approaching fluid velocity is 4 m/s.

In the flow around a cylinder, boundary layer separation occurs due to (SELECT CORRECT ANSWER) energy...

In the flow around a cylinder, boundary layer separation occurs due to (SELECT CORRECT ANSWER) energy losses in the boundary layer that prevent it from remaining attached. the Mach number being too high the surface being rough a low buoyancy force. A boundary layer is a) a region of flow close to a surface where viscous effects dominate the physics of the flow. b) a region of flow that has high turbulence. c) important in providing a slip condition at...

In the homework, you were asked to calculate the minimum height needed for a roller coaster...

In the homework, you were asked to calculate the minimum height needed for a roller coaster car to just barely make a circular loop-the-loop. Instead, suppose a roller coaster designer wants the riders to feel their seats pushing back on them with a force equal to their weight when the car is at the inside, top of the loop. What height h should the car be released from if this condition is to be met? Express your answer in terms...

Consider the two-dimensional laminar boundary layer flow of air over a wide 15 cm long flat...

Consider the two-dimensional laminar boundary layer flow of air over a wide 15 cm long flat plate whose surface temperature varies linearly from 20°C at the leading edge to 40°C at the trailing edge. This plate is placed in an airstream with a velocity of 2 m/s and a temperature of 10°C. Numerically determine how the surface heat flux varies along the plate. Explain the results obtained with proper reasoning. Support your results with scaling analysis wherever possible.I need c++...

Consider laminar steady boundary layer at a flat plate. Assume the velocity profile in the boundary...

Consider laminar steady boundary layer at a flat plate. Assume the velocity profile in the boundary layer as parabolic, u(y)=U(2 (y/δ)-(y/δ)^2). 1. Calculate the thickness of the boundary layer, δ(x), as a function of Reynold's number. 2. Calculate the shear stress at the surface, τ, as a function of Reynold's number. Re=ρUx/μ

If you were provided with the leaves of a certain plant and asked to determine the...

If you were provided with the leaves of a certain plant and asked to determine the absorption spectrum of the leaf pigments, how would you determine the same? Explain.

The local convection coefficient on a plate decreases as the thickness of the boundary layer grows...

The local convection coefficient on a plate decreases as the thickness of the boundary layer grows along the plate. After transition from laminar to turbulent flow, the local convection coefficient becomes much larger, even though the boundary layer is much thicker. Explain why this is so. Explain with a paragraph in a clear and straightforward manner, please.

If a velocity profile of a boundary layer is u= a+by+cy^2, please calculate the value of...

If a velocity profile of a boundary layer is u= a+by+cy^2, please calculate the value of a, b and c, using the boundary conditions. Please show all steps. I am trying to understand the process. Thank you (:

What fluid property is responsible for the development of the velocity boundary layer? Explain in detail.

A survey asked people for their height in inches. Their responses were: 60, 74, 66, 70,...

A survey asked people for their height in inches. Their responses were: 60, 74, 66, 70, 58, 63, 67, 71, 76, 65, 75, 72, 68, 65, 64, 68, 70, 72, 71, 64, 59, 77, 66, 65 a. Calculate the measures of central tendency b. Give the five number summary of this data. c. What is the range? d. What is the standard deviation rounded to the nearest whole number?

Question