Water flows at 0.2 m/s in a tube of inner diameter 25 mm. Using the water properties below, determine the flow regime. r = 998 kg/m³, C, = 4171 J/kg K, k = 0.651 W/m K, Hb = 4.71 × 10-4 kg/m s, µw = 2.82 × 10-4 kg/m s. О а. laminar O b. transition О с. turbulent
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- 6.1 Determine the heat transfer coefficient at the stagnation point and the average value of the heat transfer coefficient for a single 5-cm-OD, 60-cm-long tube in cross-flow. The temperature of the tube surface is , the velocity of the fluid flowing perpendicular to the tube axis is 6 m/s, and the temperature of the fluid is . Consider the following fluids: (a) air, (b) hydrogen, and (c) water.1) Atmospheric air at 25oC and with a speed of 50 m/s is pumped by a fan over a flat plate. a)What is the minimum plate length in order to achieve a Reynolds number of 108 ? b)At what distance from the leading edge would transition occur if critical Re #= 5x105 ? 2) Local Nusselt number is given as Nux=0.04Rex0.9 Pr 1/3. Obtain an expression for, a) average heat transfer coefficient, x b) local heat transfer coefficient, hx c) What is the ratio of the average to local coefficient, x / hx 3) Air is in parallel flow over a flat heater surface which is to be maintained at 140oC. Airflow induces a drag force of 0.25 N on the heater. What is the electrical power needed to maintain the prescribed surface temperature? 4) Air at 1 atm with a velocity of 4 m/s and a temperature of 50oC flows over a flat plate that is at a uniform temperature of 100oC. The plate has a length of 0.20 m and a width of 0.1 m. a) What is the average heat…The friction loss in laminar flow can be calculated using ____________ A. P.K Swammee and A.K. Jain Equation B. Darcy's equation C. Hazen-Williams Equation D. Hagen-Poiseuille equation
- Answer completely Show how the Darcy-Weisbach equation can be derived from the Hagen-Poiseuille equation through the introduction of the Reynolds number. What is the friction factor, f, equal to for flow at a laminar condition? What is it equal to in other regimes of flow?Estimate the mass-transfer coefficient for moist air flowing normal to a 25 mm diameter tube (Nu = 0.615 Re0.47). The air velocity is 0.5 m/s. Assume standard air.Flow Characteristics (Entrance Effect) -Why is the Δ P/ L Line extrapolated to the tube entrance for the calculation of the entrance loss coefficient, KL ?
- For what value of Reynolds number flow is laminar in flat plates?Laminar flow occurs when the Reynolds number (Re*) is below 2000; turbulent flow occurs when the Reynolds number is above 2000. For the following species, determine the maximum value of the average 1D speed for which laminar flow will occur: a) Ne at 293 K where ?η is 313 ?μP and ?ρ = (PM)/(RT) through a 2.00 mm (id) pipe b) Liquid water at 293 K where ?η is 0.891 cP and ?ρ = 0.998 g/mL through a 2.00 mm (id) pipe *Re = (?ρ **d)/?η, where d is the diameter of the tube through which the fluid is flowing.Hot air (43 °C) at 1 atm flows into a circular plastic duct 50 m long at a rate of 0.2 m3/s. If the friction loss, hL, in the pipe does not exceed 6 m. Determine the diameter of the duct, the velocity of the fluid, and the Reynolds number.
- Water at a flow rate of 0.215 kg/s is cooled from 70°C to 30°C by passing it through a thin-walled tube of diameter of 50 mm and maintaining a coolant at 15°C in cross flow over the tube. What is the required tube length if the coolant is air and its velocity is V = 20 m/s?Water : cp = 4181 J/kg⋅K, μ = 548 × 10-6 N⋅s/m2, k = 0.643 W/m⋅K, Pr = 3.56.Air : ν = 15.89 × 10-6 m2/s, k = 0.0263 W/m⋅K, Pr = 0.707.(Hint: For external flow use Churchill/Bernstein correlation.)Pressure Drop of Power-Law Fluid in Laminar FlowA power-law fluid having a density of 1041 kg/m3 is flowing through 14.9 m of a tubing with an inside diameter of 0.0524 m at an average velocity of 0.0728 m/s. The rheological or flow properties of the fluid are K′ = 15.23N·sn′/m2 (0.318 lbf·sn′/ft2) and n′ = 0.40. Calculate the pressure drop and friction loss using Eq. (9.1-10) for laminar flow. Check the generalized Reynolds number to make sure that the flow is laminar. Repeat part (a) but use the friction-factor methodQ-2 ) ) A boiler house has natural draught chimney of 20 m height. Flue gases are at temperature of 380°C and ambient temperature is 27°C. Determine the draught in mm of water column for maximum discharge through chimney and also the air supplied per kg of fuel. Ans. [11.77 mm of water, 11.32 kg/kg of fuel