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Using the Energy Integral Equation (EIE), derive an expression for the average Nusselt number (in terms...
Use the integral method for boundary layer flow and convective heat transfer over a flat plate he...
Use the integral method for boundary layer flow and convective heat transfer over a flat plate heated by maintaining a constant heat flux q"w, for the case of very low Prandtl number, Pr0. Assume that the free stream velocity of the fluid, U, and free stream temperature, T-do not vary with x. Using the integral form of energy equation, show that under these conditions: (a) the temperature profile, (T- T) is given by, 41 2 CT-T oa (b) the wall...
Clear solutions please fully worked out for a thumbs up, thanks! . Compare the external flows...
Clear solutions please fully worked out for a thumbs up,
thanks!
. Compare the external flows of two different fluids over a flat plate held at a constant T,; air at a free-stream speed Ux-3 m and temperature Too-250 K to that of engine oil at a free-stream speed Un-3 ! ! and temperature T 400 K. For laminar flow over a flat plate, the velocity boundary layer thickness is given by δ- (In the absence of a known surface...
(2 pts) Heat is transferred from a hot fluid (temperature T1 and heat transfer coefficient h2)...
(2 pts) Heat is transferred from a hot fluid (temperature T1 and heat transfer coefficient h2) through a plane wall of thickness 8, surface area A and the thermal conductivity k. The thermal resistance for the set up is + (a) AC ) (b) A (i + + ) (c) 2 (na + + n2) (d) A (na + b +h2) (2 pts) An increase in convective heat transfer coefficient over a fin will (a) increase effectiveness (b) decrease effectiveness...
Please make the hand writing legible. Thanks Consider the situation depicted below, in which an incompressible...
Please make the hand writing legible. Thanks
Consider the situation depicted below, in which an incompressible fluid flows over a flat surface of solid. Upstream of the surface, the fluid has velocity U and uniform temperature To. As the fluid is viscous, both a momentum boundary layer, and a thermal boundary layer form, and heat is transferred to the solid surface. A convective coefficient h can be used to describe the dimensional heat transfer rate to the solid, and is...
QUESTION 1 (T1) What is an adverse pressure gradient? (9.2) A. Where pressure increases with distance...
QUESTION 1 (T1) What is an adverse pressure gradient? (9.2) A. Where pressure increases with distance downstream O B. Where pressure decreases with distance downstream C. Where pressure is uniform in the flow D. Where pressure is pushing the iow downstream QUESTION 2 (T2) Where does an adverse pressure gradient occur on an airfoil? (9.2) O A. Leading edge O B. Near or after the point of maximum thickness O C.Only in a region where the boundary layer is turbulent...
Explain Convection 1. Describe the factors that affect the value of the convection coefficient 2. Explain why and how velocity and thermal boundary layers form 3. Explain how turbulence enhances c...
Explain
Convection 1. Describe the factors that affect the value of the convection coefficient 2. Explain why and how velocity and thermal boundary layers form 3. Explain how turbulence enhances convection heat transfer 4. Describe the significance of the Reynold's number, Nusselt number, and the Prandtl number 5. List common situations where external convection occurs 6. Explain the importance of the film temperature and use it to specify thermophysical properties of a fluid 7. Explain the significance of boundary layer...
The Von Karman Momentum Integral (VKMI): dU can be a very powerful tool for generating approximat...
The Von Karman Momentum Integral (VKMI): dU can be a very powerful tool for generating approximate solutions for boundary layer problems. Recall that To is the shear stress at the wall, U00 is the free stream velocity, while 0 and are the momentum and displacement boundary layer thicknesses, respectively. consider a laminar zero-pressure gradient flat plate boundary layer (Le, U” is constant), and assume the following mean profile: u=U,0 sin( ) for y for y > δ(x), 6(x), where δ...
PROBLEM 1: Answer/Define/Explain shortly and/or Fill in the blanks (40 P) a) What are the two...
PROBLEM 1: Answer/Define/Explain shortly and/or Fill in the blanks (40 P) a) What are the two types of energy transfer in Convection? b) A thermal boundary layer must develop if ....... c) Define the critical Reynolds number. d) What are the assumptions for Boundary Layer Equations for Laminar Flow? e) Define the Nusselt number. f) Define the Prandtl number. g) How the Pr influences the relative growth of the boundary layers, explain briefly ? h) Explain favorable pressure gradient. i)...
(Re_x)_cr=5(10^5) au ar +0 ay au dy? Revie ди ar + =0 ду Water flows past...
(Re_x)_cr=5(10^5)
au ar +0 ay au dy? Revie ди ar + =0 ду Water flows past a flat plate of length L = 15 cm at U = 2 m/s. What is the disturbance thickness of the boundary layer at = 10 cm from the front of the plate? The properties of water are pw = 1000 kg/m” and Vw = 1x10-6 m/s Express your answer in mm to three significant figures. View Available Hint(s) 8 = 1.12 mm Submit...
Start by checking your Reynolds number (Re) at the end of the plate, where it will...
Start by checking your Reynolds number (Re) at the end of the
plate, where it will be at a maximum. This will determine if your
boundary layer is simply laminar along the length of the plate or
if it becomes turbulent (the "mixed BL" condition). Once you know
the conditions of the flow, you can solve for the velocity BL
thickness directly with an equation from the list of external flow
correlations (posted). Your properties should be looked up at...
Use the integral method for boundary layer flow and convective heat transfer over a flat plate heated by maintaining a constant heat flux q"w, for the case of very low Prandtl number, Pr0. Assume that the free stream velocity of the fluid, U, and free stream temperature, T-do not vary with x. Using the integral form of energy equation, show that under these conditions: (a) the temperature profile, (T- T) is given by, 41 2 CT-T oa (b) the wall...
Clear solutions please fully worked out for a thumbs up,
thanks!
. Compare the external flows of two different fluids over a flat plate held at a constant T,; air at a free-stream speed Ux-3 m and temperature Too-250 K to that of engine oil at a free-stream speed Un-3 ! ! and temperature T 400 K. For laminar flow over a flat plate, the velocity boundary layer thickness is given by δ- (In the absence of a known surface...
(2 pts) Heat is transferred from a hot fluid (temperature T1 and heat transfer coefficient h2) through a plane wall of thickness 8, surface area A and the thermal conductivity k. The thermal resistance for the set up is + (a) AC ) (b) A (i + + ) (c) 2 (na + + n2) (d) A (na + b +h2) (2 pts) An increase in convective heat transfer coefficient over a fin will (a) increase effectiveness (b) decrease effectiveness...
Please make the hand writing legible. Thanks
Consider the situation depicted below, in which an incompressible fluid flows over a flat surface of solid. Upstream of the surface, the fluid has velocity U and uniform temperature To. As the fluid is viscous, both a momentum boundary layer, and a thermal boundary layer form, and heat is transferred to the solid surface. A convective coefficient h can be used to describe the dimensional heat transfer rate to the solid, and is...
QUESTION 1 (T1) What is an adverse pressure gradient? (9.2) A. Where pressure increases with distance downstream O B. Where pressure decreases with distance downstream C. Where pressure is uniform in the flow D. Where pressure is pushing the iow downstream QUESTION 2 (T2) Where does an adverse pressure gradient occur on an airfoil? (9.2) O A. Leading edge O B. Near or after the point of maximum thickness O C.Only in a region where the boundary layer is turbulent...
Explain
Convection 1. Describe the factors that affect the value of the convection coefficient 2. Explain why and how velocity and thermal boundary layers form 3. Explain how turbulence enhances convection heat transfer 4. Describe the significance of the Reynold's number, Nusselt number, and the Prandtl number 5. List common situations where external convection occurs 6. Explain the importance of the film temperature and use it to specify thermophysical properties of a fluid 7. Explain the significance of boundary layer...
The Von Karman Momentum Integral (VKMI): dU can be a very powerful tool for generating approximate solutions for boundary layer problems. Recall that To is the shear stress at the wall, U00 is the free stream velocity, while 0 and are the momentum and displacement boundary layer thicknesses, respectively. consider a laminar zero-pressure gradient flat plate boundary layer (Le, U” is constant), and assume the following mean profile: u=U,0 sin( ) for y for y > δ(x), 6(x), where δ...
PROBLEM 1: Answer/Define/Explain shortly and/or Fill in the blanks (40 P) a) What are the two types of energy transfer in Convection? b) A thermal boundary layer must develop if ....... c) Define the critical Reynolds number. d) What are the assumptions for Boundary Layer Equations for Laminar Flow? e) Define the Nusselt number. f) Define the Prandtl number. g) How the Pr influences the relative growth of the boundary layers, explain briefly ? h) Explain favorable pressure gradient. i)...
(Re_x)_cr=5(10^5)
au ar +0 ay au dy? Revie ди ar + =0 ду Water flows past a flat plate of length L = 15 cm at U = 2 m/s. What is the disturbance thickness of the boundary layer at = 10 cm from the front of the plate? The properties of water are pw = 1000 kg/m” and Vw = 1x10-6 m/s Express your answer in mm to three significant figures. View Available Hint(s) 8 = 1.12 mm Submit...
Start by checking your Reynolds number (Re) at the end of the
plate, where it will be at a maximum. This will determine if your
boundary layer is simply laminar along the length of the plate or
if it becomes turbulent (the "mixed BL" condition). Once you know
the conditions of the flow, you can solve for the velocity BL
thickness directly with an equation from the list of external flow
correlations (posted). Your properties should be looked up at...
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