Consider a case of a fluid having a Prandtl number equal to ?. For flow pass...
Consider a case of a fluid having a Prandtl number equal to ?. For flow pass over a flat plate with constant wall temperature: 1) Prove that the distribution of ? = (?−?∞)/ (??−?∞) through the boundary layer is identical to the distribution of (?/?∞). 2) Prove that ??? = 0.332???^1/2
Homework Answers
BY
PUTTING THE VALUE OF PRANDTL NO. =1 , FINAL EXPRESSION IS
PROVED.
Add Answer to:
Consider a case of a fluid having a Prandtl number equal to ?.
For flow pass...
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...
(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...
Consider laminar flow of an incompressible fluid past a flat plate. The boundary layer velocity profile...
Consider laminar flow of an incompressible fluid past a flat plate. The boundary layer velocity profile is given as u = U sin () a. Determine the boundary layer thicknesses 8, 8, as a function of x. Express in terms of Reynolds number. b. Using momentum integral theory, determine the wall shear stress tw, as a func. of x. Express in terms of Reynolds number. C. Determine the friction drag coefficient, Cof-
Air at T=25°C and pressure P=1 bar flows over a square plate with a velocity V=1...
Air at T=25°C and pressure P=1 bar flows over a square plate with a velocity V=1 m/s. This plate has a length L= 1 m and it is heated over its entire length; the plate temperature is constant Tp=100°C. The following data are given. For air: dynamic viscosity: mu = 1.9*10–5 kg/(m.s); density: rho = 1.05 kg/m3; conductivity k = 0.03 W/(m K); Specific heat Cp = 1.007 kJ/(kg K); Prandtl number Pr = 0.7 For laminar flow over a...
Using the Energy Integral Equation (EIE), derive an expression for the average Nusselt number (in terms...
Using the Energy Integral Equation (EIE), derive an expression for the average Nusselt number (in terms of Reynolds and Prandtl numbers) for laminar flow of a fluid over a surface with a free stream velocity of U. (which is a constant). Assume the fluid velocity in the momentum boundary layer is the same as the free stream velocity and (T-Tw)/(To-Tw)=(y/St), where T is the fluid temperature field in the thermal boundary layer, To is the free stream temperature, Twis the...
For flow over a flat plate with non-uniform wall temperature ??(?) = ?∞ + ??^? where...
For flow over a flat plate with non-uniform wall temperature ??(?) = ?∞ + ??^? where ? and ? being constants, by still using the following dimensionless temperature ?(?) =( ?? − ?)/ (?? − ?∞) show that the energy equation in the boundary layer reduces to: ?"+ ??? ∙ ?′(1− ?) + (?? /2) ?′? = 0 while the boundary conditions can be written as ? = 0: ? = 0 ? → 1: ? = 1 where ?...
Problem 2) Consider convection heat transfer over a flat plate, as shown in the figure. The...
Problem 2) Consider convection heat transfer over a flat plate, as shown in the figure. The flow is parallel to the length (dimension L) of the plate. The plate is maintained at a constant surface temperature, and the Reynolds number Rei- 750,000. The Pr-0.85 for this fluid. What is the correct Nusselt number to calculate the average heat flux along the length of the plate? (A) Nu (0.037Ret5-871) Pr (B) Nu1 -0.664 Re2 Pr (C) Nu 0.332 Re! Pr (D)...
Mechanical Engineering Heat Transfer chapter &(Internal Convection) will give a like. ONLY SO...
Mechanical Engineering Heat Transfer chapter &(Internal
Convection) will give a like.
ONLY SOLVE PART C and D
Problem 1 (Short Answer) Answer the following questions in 2-4 sentences a. Describe the features of the entrance region and the fully developed region of internal flow. b. Explain why the mean temperature changes along the axial direction in internal flow, while the free-stream temperature does not change in external flow. of constant heat flux and constant wall temperature. expect the velocity boundary...
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...
1. Consider a flat plate with variable wall temperature, Tu-T(), and neglect viscous dissipation ...
1. Consider a flat plate with variable wall temperature, Tu-T(), and neglect viscous dissipation in the following analysis a) Define 0ow that the energy equation for the laminar boundary T-Tw (x) layer is dTw Ду
1. Consider a flat plate with variable wall temperature, Tu-T(), and neglect viscous dissipation in the following analysis a) Define 0ow that the energy equation for the laminar boundary T-Tw (x) layer is dTw Ду
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...
(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...
Consider laminar flow of an incompressible fluid past a flat plate. The boundary layer velocity profile is given as u = U sin () a. Determine the boundary layer thicknesses 8, 8, as a function of x. Express in terms of Reynolds number. b. Using momentum integral theory, determine the wall shear stress tw, as a func. of x. Express in terms of Reynolds number. C. Determine the friction drag coefficient, Cof-
Using the Energy Integral Equation (EIE), derive an expression for the average Nusselt number (in terms of Reynolds and Prandtl numbers) for laminar flow of a fluid over a surface with a free stream velocity of U. (which is a constant). Assume the fluid velocity in the momentum boundary layer is the same as the free stream velocity and (T-Tw)/(To-Tw)=(y/St), where T is the fluid temperature field in the thermal boundary layer, To is the free stream temperature, Twis the...
Problem 2) Consider convection heat transfer over a flat plate, as shown in the figure. The flow is parallel to the length (dimension L) of the plate. The plate is maintained at a constant surface temperature, and the Reynolds number Rei- 750,000. The Pr-0.85 for this fluid. What is the correct Nusselt number to calculate the average heat flux along the length of the plate? (A) Nu (0.037Ret5-871) Pr (B) Nu1 -0.664 Re2 Pr (C) Nu 0.332 Re! Pr (D)...
Mechanical Engineering Heat Transfer chapter &(Internal
Convection) will give a like.
ONLY SOLVE PART C and D
Problem 1 (Short Answer) Answer the following questions in 2-4 sentences a. Describe the features of the entrance region and the fully developed region of internal flow. b. Explain why the mean temperature changes along the axial direction in internal flow, while the free-stream temperature does not change in external flow. of constant heat flux and constant wall temperature. expect the velocity boundary...
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...
1. Consider a flat plate with variable wall temperature, Tu-T(), and neglect viscous dissipation in the following analysis a) Define 0ow that the energy equation for the laminar boundary T-Tw (x) layer is dTw Ду
1. Consider a flat plate with variable wall temperature, Tu-T(), and neglect viscous dissipation in the following analysis a) Define 0ow that the energy equation for the laminar boundary T-Tw (x) layer is dTw Ду
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