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3. Water flows at a uniform velocity of 1 em/s in a circular channel of diameter...
3. Water flows through a circular channel that has a diameter of d= 75 mm at...
3. Water flows through a circular channel that has a diameter of d= 75 mm at both the inlet and outlet, as shown below. The fluid enters with uniform velocity U = 7.5 m/s. The channel makes a 90° bend that distorts the flow to produce the velocity profile at the outlet described by the function, v(r) = Vmax ( 1 -722 Assume steady, incompressible flow. Density of water is 1000 kg/m² a) Find the value of Vmax. b) Find...
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.
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...
2. (20%) Air at the 25 °C with a mass flow rate of m- 0.01 kg/sec...
2. (20%) Air at the 25 °C with a mass flow rate of m- 0.01 kg/sec enters a rectangular duct 0 6 em cross section and 2 m long. The duct wall is subjected to a uniform heat flux of qKw temperature of the air and the duct surface temperature at the duct outlet (A hydrod1.568 x 103 mls,Pr developed flow). Air properties to be used are:ρ-1.1774 kgm, C,-1.0057 0.708, k -0.02624 w/m-oC. 5 kw/m2. Determine the oulet ically and...
solve for part a and b Water at 20°C and a flow rate of 0.15 kg/s...
solve for part a and b
Water at 20°C and a flow rate of 0.15 kg/s enters a heated, thin-walled tube with a diameter of 15 mm and length of 2 m. The wall heat flux provided by the heating elements depends on the wall temperature according to the relation qs"(x)-95.0"[ 1+a(Ts(x)-Tref)] where 95.0" - 104 W/m2, a -0.2 K-1. Tref - 20°C, and Ts is the wall temperature in °C. Assume fully developed flow and thermal conditions with a...
ICLO-21 Air flows over a cylinder with circular cross section that has an outer diameter of...
ICLO-21 Air flows over a cylinder with circular cross section that has an outer diameter of 2 cm and a length of 20 m. The outer surface temperature of the cylinder is 100 °C. The average Nusselt number is 38. The speed of the air before it reaches the cylinder is 10 m/s. Moreover, the freestream temperature of the air before it gets dose to the cylinder are 20 oc. If needed. You may consider the following thermohysical properties of...
Problem 3: (35pts) Atmospheric air enters the heated section of a circular tube at a flow...
Problem 3: (35pts) Atmospheric air enters the heated section of a circular tube at a flow rate of 0.005 kg/s and a temperature of 30°C. The tube is of diameter D =60mm, and fully developed conditions with h = 30W/m2K exist over the entire length of L-4m. Take cp-1015 /kg.K 2 (a) (10pts) For the case of uniform surface heat flux at q"-1000W/m, determine the total heat transfer rate q and the mean temperature of the air leaving the tube...
The required water flow rate in the 6 cm diameter 30-meter long circular pipe in the...
The required water flow rate in the 6 cm diameter 30-meter long circular pipe in the diagram below is 12 liters per second. The water temperature is 4 °C and the flow discharges into the atmosphere at a pressure of PB = 100 kPa. The flow is fully developed turbulent flow and there is no elevation change. The surface of the wall has become degraded due to pitting and deposits such that there is a surface roughness with a height...
1. Water (at 70 o C) flows with a velocity of 1 m/s in a 2...
1. Water (at 70 o C) flows with a velocity of 1 m/s in a 2 cm diameter pipe. The pipe wall temperature is at 100 o C. (a) What is the heat transfer from the pipe wall to the fluid? (b) Determine the critical velocity at which the flow would be characterized as laminar and for this flow velocity calculate the heat transfer (c) Assume the diameter of the pipe is doubled while all other conditions remain the same....
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...
3. Water flows through a circular channel that has a diameter of d= 75 mm at both the inlet and outlet, as shown below. The fluid enters with uniform velocity U = 7.5 m/s. The channel makes a 90° bend that distorts the flow to produce the velocity profile at the outlet described by the function, v(r) = Vmax ( 1 -722 Assume steady, incompressible flow. Density of water is 1000 kg/m² a) Find the value of Vmax. b) Find...
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...
2. (20%) Air at the 25 °C with a mass flow rate of m- 0.01 kg/sec enters a rectangular duct 0 6 em cross section and 2 m long. The duct wall is subjected to a uniform heat flux of qKw temperature of the air and the duct surface temperature at the duct outlet (A hydrod1.568 x 103 mls,Pr developed flow). Air properties to be used are:ρ-1.1774 kgm, C,-1.0057 0.708, k -0.02624 w/m-oC. 5 kw/m2. Determine the oulet ically and...
solve for part a and b
Water at 20°C and a flow rate of 0.15 kg/s enters a heated, thin-walled tube with a diameter of 15 mm and length of 2 m. The wall heat flux provided by the heating elements depends on the wall temperature according to the relation qs"(x)-95.0"[ 1+a(Ts(x)-Tref)] where 95.0" - 104 W/m2, a -0.2 K-1. Tref - 20°C, and Ts is the wall temperature in °C. Assume fully developed flow and thermal conditions with a...
ICLO-21 Air flows over a cylinder with circular cross section that has an outer diameter of 2 cm and a length of 20 m. The outer surface temperature of the cylinder is 100 °C. The average Nusselt number is 38. The speed of the air before it reaches the cylinder is 10 m/s. Moreover, the freestream temperature of the air before it gets dose to the cylinder are 20 oc. If needed. You may consider the following thermohysical properties of...
Problem 3: (35pts) Atmospheric air enters the heated section of a circular tube at a flow rate of 0.005 kg/s and a temperature of 30°C. The tube is of diameter D =60mm, and fully developed conditions with h = 30W/m2K exist over the entire length of L-4m. Take cp-1015 /kg.K 2 (a) (10pts) For the case of uniform surface heat flux at q"-1000W/m, determine the total heat transfer rate q and the mean temperature of the air leaving the tube...
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...
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