Water from an industrial process flows through a long pipe of diameter 0.2m at a mass flow of 1.25 kg/s. The surface of the pipe is held at a constant temperature of 10°C. How long must the pipe be if the water enters at 83°C is desired to be cooled to 25°C? Be sure to justify the validity of your chosen correlation.
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- A 20degC water flows to 50cmx60cm flat plate with velocity of 6m/s . The flat plate surface temperature is maintained at 40deg C. The water flows parallel to the 50cm side of the plate. If the kinematic viscosity of water is 78x10-8 m2/s, What is the local heat flux (Q/A) at the end of the plate (k=0.86 W/m deg C, Re=3840000, and Pr=0.7)? Round your answer to 2 decimal places.A 20 °C water flows to 50cmx60cm flat plate with velocity of 6m/s . The flat plate surface temperature is maintained at 40 °C The water flows parallel to the 50cm side of the plate. If the kinematic viscosity of water is 78x10-8 m2/s, What is the local heat flux (Q/A) at the end of the plate (k=0.86 W/m deg C, Re=3840000, and Pr=0.7)?A 20degC water flows to 50cmx60cm flat plate with velocity of 6m/s . The flat plate surface temperature is maintained at 40deg C. The air flows parallel to the 50cm side of the plate. If the kinematic viscosity of water is 78x10-8 m2/s, at what length the flow become turbulent? If the average laminar heat transfer coefficient of water is 7740W/m2 degC, what is the overall heat transfer at the laminar section?
- We derived the continuity equation in two ways: by using the divergence theorem and by summing mass flow rates through each face of an infinitesimal control volume. Explain why the former is so much less involved than the latter.A 20 °C water flows to 50cmx60cm flat plate with velocity of 6m/s . The flat plate surface temperature is maintained at 40 °C . The air flows parallel to the 50cm side of the plate. If the kinematic viscosity of water is 78x10-8 m2/s, at what length the flow become turbulent? If the average laminar heat transfer coefficient of water is 7740W/m2 °C , what is the overall heat transfer at the laminar section?Hot water, k=48 W/m. It flows along the cast iron pipe, which is oC, at a speed of 1.4 m/s. The inner and outer diameter of the pipe are 3.0 and 3.5 cm, respectively. The pipe is located in a 15 m section of a basement floor with a temperature of 15 oC. If the water temperature drops from 70 OC to 67 OC when passing through the basement, and the film heat transfer coefficient on the inner surface of the pipe is 400 W/m2. If oC is, calculate the convective heat transfer coefficient on the outer surface of the pipe and the heat that will be transferred.
- What is the critical value of the pressure coefficient for an airplane flying at 170m/s in air at 2 deg C?A solid ball is dropped into a water container for cooling. The ball has a diameter of D = 4 mm and sinks at a constant terminal velocity of Ut = 0.01 m/s. The thermophysical properties of the solid ball are: density ρ = 8000 kg/m3, thermal conductivity k = 200 W/m · K, and specific heat c = 1000 J/kg · K. The thermophysical properties of the water are: density ρw = 1000 kg/m3, kinematic viscosity νw = 10^(−6) m^(2)/s, thermal conductivity kw = 0.6 W/m · K, and Prandtl number Pr = 7. The vertical distance for the ball to sink from the initial fully submerged depth to the bottom of the container is H = 0.1 m. The initial temperature of the ball is T0 = 800 K, and the water temperature is T∞ = 300 K.Given correlations: For the convection heat transfer caused by flow past a sphere, the averaged Nusselt number is NuD = 2 + 0.6*(Re^(1/2))*(Pr^(1/3)) Questions:(1) Determine the averaged convection heat transfer coefficient h, and check if the LumpedCapacitance Method can be used to solve…An expression for the laminar velocity profile on a flat plate is u=C1sin(C2y)+C3 Where the argument of the sine function is in radians. Using the three common physicalconditions that the velocity profile should satisfy, determine a) the constants C1, C2, and C3.b) the nondimensional velocity profilec) the boundary thickness (δ/x) as a function of lengthd) the skin friction coefficient, Cf as a function of lengthe) displacement thickness (δ*/x) as a function of lengthf) the momentum thickness (θ/x) as a function of lengthg) the drag force (FD) on both sides of the plate
- For axial flow through a circular tube, the Reynolds numberfor the transition to turbulence is approximately 2300 based on the diameter and average velocity. Ifd= 5 cm and the fl uid is kerosene at 20 ° C, fi nd the volumeflow rate in m 3 /h that causes transition.Air at atmospheric pressure and temperature of 25 oC flows at a speed of 10 m/s along a flat plate that is 4 m long and has a uniform surface temperature of 140 oC. Ifcritical Reynolds number of 200,000:a) the local heat transfer kingdom at x = 2; 3; and 4 m from the front rim.b) the average heat transfer balance is 4 m long.c) the rate of heat transfer from the surface of the plate to the air if the width of the plate surface is 2 m.d) game problems b) and c) flow velocity 5 and 20 m/se) What is your analysis and conclusion on this case?A horizontal smooth pipe of diameter 5 cm and length 10 m is conducting water ( viscosity= 1x10^-6 m2/s ,density =1000 kg/m3 ) for the presence of laminar flow regime at maximum amount of flow rate determine maximum shear stress magnitude and its position in pipe.ANSWER: 7,36 X 10-3 Pa at wall of the pipe