The heat flux through the walls of the channel is uniform,q. The flow regime is laminar....
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The heat flux through the walls of the channel is uniform,q. The flow regime is laminar. The velocity and temperature profiles are fully developed. Derive the expression for the fully developed temperature profile, and show that the Nusselt number based on hydraulic diameter is Nu = 8.235.
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this is the answer to derive the equation for fully developed
temperature profile.
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The heat flux through the walls of the channel is uniform,q. The
flow regime is laminar....
A fluid flows in an infinitely wide channel of height 2ℎ. The flow is steady, incompressible...
A fluid flows in an infinitely wide channel of height 2ℎ. The flow is steady, incompressible and laminar. A constant heat flux of magnitude q"w is applied on both walls. a. Derive the governing equation for the temperature distribution in the section of the channel where both velocity and temperature profiles are fully developed. b. Find the temperature distribution .c. Using the temperature distribution calculate the Nusselt number.
3. Water flows at a uniform velocity of 1 em/s in a circular channel of diameter...
3. Water flows at a uniform velocity of 1 em/s in a circular channel of diameter 2 cm and length 2 m. A uniform heat flux of 10 W/m2 is supplied at the surface. Assume laminar flow and developed flow and temperature. (a) Calculate the variation of the mixing cup temperature with distance and the Nusselt number. (b) If the mixing cup temperature at the inlet is 22 oC, calculate the mixing cup and wall temperatures at the outlet? (e)...
Which of the following statements are true (could be multiple) for internal flow through a pipe?...
Which of the following statements are true (could be multiple) for internal flow through a pipe? In laminar flow, the Nusselt is higher for constant wall temperature compared to that for constant heat flux. In turbulent flow, the Nusselt number is higher at the pipe exit than at the pipe entrance In laminar flow, the Nusselt number is lower at the pipe exit than at the pipe entrance In laminar fully developed flow, the Nusselt number is independent of Reynolds...
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel plates where...
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel plates where the one is moving with velocity y, other one is stationary. There exists pressure gradient in x direction. The bottom stationary plate is a porous plate andfluid is injected into the channel with V velocity. If theflow is steady, fully developed and incompressible flow, derive the velocity profile. Uo Vo
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel...
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...
Heat transfer question.. plz solve. thd For flow of a liquid through a circular tube, the...
Heat transfer question.. plz solve. thd
For flow of a liquid through a circular tube, the mean velocity and temperature profile are as the followings u(r) = 2 2 2u 2 mo dT, 3 1 T, (x) T,(x)- dx 16 16 r 4 2 Tm uTrdr r2 Jo umo Show that Nusselt No.= 4.36
For flow of a liquid through a circular tube, the mean velocity and temperature profile are as the followings u(r) = 2 2 2u 2 mo...
2. (20 marks) The fully-developed, laminar fluid flow through a circular pipe is considered to be...
2. (20 marks) The fully-developed, laminar fluid flow through a circular pipe is considered to be one dimensional with a velocity profile given by u(r) = Umax(1 - 52/R2), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and Umax is the maximum flow velocity at the center of the pipe. a) Derive a relation for the drag force applied by the fluid on a section of the pipe of...
Problem 1 It is known that for a laminar flow through a round pipe ф(ND)-32 VD,...
Problem 1 It is known that for a laminar flow through a round pipe ф(ND)-32 VD, where "I" and "D" are length and diameter of the pipe, respectively Consider a fully developed, laminar flow Q- through two horizontal smooth pipes of equal ength. The pressure drop for the first pipe is 1.44 times greater than is for the second pipe If the diameter of the first pipe is D, determine the diameter of the second pipe. Neglect the minor losses
2- (50 pts.) A fluid flow in a circular pipe is heated with a constant heat...
2- (50 pts.) A fluid flow in a circular pipe is heated with a constant heat flux. The pipe diameter is set to D=0.2 m and the length of the pipe to L = 1.0 m. The inlet temperature is 300 K and the inlet velocity is uniform. Use the following air properties: p= 1 kg/m?, u=4x10-5 Pa-s, k=0.03 W/m-K. The Reynolds number is Rep and the Prandtl number to Pr=1. A section of the pipe is heated with a...
1. Consider a 5 m long rectangular tube with a hot fluid with the properties specified in the diagram below. The inlet...
1. Consider a 5 m long rectangular tube with a hot fluid with the properties specified in the diagram below. The inlet and outlet fluid temperatures are controlled to vary from 20 to 30 °C by applying a constant heat flux at the surface of the tube. We can ignore conduction and radiation phenomena in this problem and assume that the fluid velocity profile does not change within the tube. Using the Nu correlation from table 8.1 below, find the...
3. Water flows at a uniform velocity of 1 em/s in a circular channel of diameter 2 cm and length 2 m. A uniform heat flux of 10 W/m2 is supplied at the surface. Assume laminar flow and developed flow and temperature. (a) Calculate the variation of the mixing cup temperature with distance and the Nusselt number. (b) If the mixing cup temperature at the inlet is 22 oC, calculate the mixing cup and wall temperatures at the outlet? (e)...
Which of the following statements are true (could be multiple) for internal flow through a pipe? In laminar flow, the Nusselt is higher for constant wall temperature compared to that for constant heat flux. In turbulent flow, the Nusselt number is higher at the pipe exit than at the pipe entrance In laminar flow, the Nusselt number is lower at the pipe exit than at the pipe entrance In laminar fully developed flow, the Nusselt number is independent of Reynolds...
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel plates where the one is moving with velocity y, other one is stationary. There exists pressure gradient in x direction. The bottom stationary plate is a porous plate andfluid is injected into the channel with V velocity. If theflow is steady, fully developed and incompressible flow, derive the velocity profile. Uo Vo
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel...
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...
Heat transfer question.. plz solve. thd
For flow of a liquid through a circular tube, the mean velocity and temperature profile are as the followings u(r) = 2 2 2u 2 mo dT, 3 1 T, (x) T,(x)- dx 16 16 r 4 2 Tm uTrdr r2 Jo umo Show that Nusselt No.= 4.36
For flow of a liquid through a circular tube, the mean velocity and temperature profile are as the followings u(r) = 2 2 2u 2 mo...
2. (20 marks) The fully-developed, laminar fluid flow through a circular pipe is considered to be one dimensional with a velocity profile given by u(r) = Umax(1 - 52/R2), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and Umax is the maximum flow velocity at the center of the pipe. a) Derive a relation for the drag force applied by the fluid on a section of the pipe of...
Problem 1 It is known that for a laminar flow through a round pipe ф(ND)-32 VD, where "I" and "D" are length and diameter of the pipe, respectively Consider a fully developed, laminar flow Q- through two horizontal smooth pipes of equal ength. The pressure drop for the first pipe is 1.44 times greater than is for the second pipe If the diameter of the first pipe is D, determine the diameter of the second pipe. Neglect the minor losses
2- (50 pts.) A fluid flow in a circular pipe is heated with a constant heat flux. The pipe diameter is set to D=0.2 m and the length of the pipe to L = 1.0 m. The inlet temperature is 300 K and the inlet velocity is uniform. Use the following air properties: p= 1 kg/m?, u=4x10-5 Pa-s, k=0.03 W/m-K. The Reynolds number is Rep and the Prandtl number to Pr=1. A section of the pipe is heated with a...
1. Consider a 5 m long rectangular tube with a hot fluid with the properties specified in the diagram below. The inlet and outlet fluid temperatures are controlled to vary from 20 to 30 °C by applying a constant heat flux at the surface of the tube. We can ignore conduction and radiation phenomena in this problem and assume that the fluid velocity profile does not change within the tube. Using the Nu correlation from table 8.1 below, find the...
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