In a particular application involving fluid flow at a rate m through a circular tube of length L and diameter D, the surface heat flux is known to have a sinusoidal variation with r, which is of the form
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- An incompressible fluid flows through a rectangular cross section duct, with width much larger than height of the cross section. The duct surface is heated at a uniform rate along its length. If the centreline of the flow is along the centre of the duct where y = 0, the distance from the centreline to the surface of the duct is b = 25 mm, and the thermal conductivity of the fluid is 0.6 W/mK, what is the local heat transfer coefficient in the developed region of the flow? Give your answer in W/m2K to 1 decimal place. I AM POSTIING THIS AGAIN. PLEASE STOP ? COPY FROM INTERNET AND SEND RANDOM SOLUTION. HINT THE FINAL ANSWER IS 38.4 But i need step by step solution. if you don't get this value don't send it please, reject and add the creditarrow_forward(1) Given the working form of the Bernoulli equation as v2 + gz + dW - F dm Where s is the friction heating per unit mass dQ F = Au dm Given also that friction heating in laminar flow of Newtonian fluids in circular pipes is given as -AP F = = -gAz = Q Ax µ 128 Ax is change in the x-direction. A typical capillary viscometer has a large-diameter reservoir and a long, small diameter, vertical tube. The sample is placed in the reservoir and the flow rate due to gravity is measured. The tube is 0.1 m long and has a 1 mm ID. The height of the fluid in the reservoir above the inlet to the tube is 0.02 m. The fluid being tested has a density of 1050 kg / m'. The flow rate is 10* m³ / s. What is the viscosity of the fluid? Typical capillary viscometerarrow_forward(1) Given the working form of the Bernoulli equation as dW - F dm Where 3 is the friction heating per unit mass dP F = Au - dm Given also that friction heating in laminar flow of Newtonian fluids in circular pipes is given as -AP F =- = -gAz = Q Ax " 128 Ax is change in the x-direction. A typical capillary viscometer has a large-diameter reservoir and a long, small diameter, vertical tube. The sample is placed in the reservoir and the flow rate due to gravity is measured. The tube is 0.1 m long and has a 1 mm ID. The height of the fluid in the reservoir above the inlet to the tube is 0.02 m. The fluid being tested has a density of 1050 kg / m. The flow rate is 10* m³ / s. What is the viscosity of the fluid? Typical capillary viscometerarrow_forward
- (heat transfer ) thanks The velocity of the fluid flowing in parallel over a 500mmx500mm flat heater surface is U= 19 m/s and the inlet velocity temperature is T_∞15 C. The surface temperature of this plate is T_s140 C, the friction force is F_D=0.4 N and the surface area of the plate is A=0.32 m2. According to this;(F_D= 0.4N A=32 m2)a) Surface shear stressb) Find the coefficient of frictionc) Heat transfer coefficientd) What is the amount of heat transfer (electric power) that must be given to maintain a constant surface temperature?arrow_forward48. Water is flowing in a smooth pipe of diameter D. A section of this pipe hav- ing a length of L is heated. Water at the inlet to the heated section has a tempera- ture of Tŋ. Water temperature at the exit of the heated section is Tp. The heated section of the pipe wall is maintained at a constant heat flux so that a constant temperature difference of AT, = T, – T, exists between the wall and the bulk wa- ter temperature. Show that for turbulent flow in the pipe and a specified heated length and pipe diameter, water temperature at the exit of the heated section is given by: 402 0.6 Pr T52 =Tf +0.0876 L AT DO.8 0.2 marrow_forwardFor a water flow over a steel surface, the temperature of water at a specific location was found to change with the vertical distance from the surface (y) up to a distance of 0.015 m as T(y) = 60 + 20y + tan(y), where temperature is in °C and y is in cm. The surface temperature and ambient temperature was measured as 60°C and 105°C, respectively. The thermal conductivity of steel and water are, respectively, 48 W/m-K and 0.6 W/m-K. What is the local convection coefficient at this location?arrow_forward
- The liquid food is flowed through an uninsulated pipe at 90 ° C. The product flow rate is 0.4 kg / s and has a density of 1000 kg / m³, specific heat 4 kJ / (kg K), a viscosity of 8 x 10-6 Pa s, and a thermal conductivity of 0.55 W / (m) K). Assume that the change in viscosity is negligible. The internal diameter of the pipe is 20 mm with a thickness of 3 mm made of stainless steel (k = 15 W / [m ° C]). The outside temperature is 15 ° C. If the outer convective heat transfer coefficient is 18 W / (m² K), calculate the heat loss at steady state per meter of pipe length. a.Find the convection coefficient in the pipe = AnswerW / m² ° C. b. Calculate heat loss per meter pipe length = Answerwatt.arrow_forwardThe liquid food is flowed through an uninsulated pipe at 90 ° C. The product flow rate is 0.3 kg / s and has a density of 1000 kg / m³, specific heat 4 kJ / (kg K), a viscosity of 8 x 10-6 Pa s, and a thermal conductivity of 0.55 W / (m) K). Assume that the change in viscosity is negligible. The internal diameter of the pipe is 30 mm with a thickness of 3 mm made of stainless steel (k = 15 W / [m ° C]). The outside temperature is 15 ° C. If the outer convective heat transfer coefficient is 18 W / (m² K), calculate the heat loss at steady state per meter pipe length. a. Find the convection coefficient in pipe = W / m² ° C. b. Calculate heat loss per meter pipe length = wattsarrow_forwardThe liquid food is flowed through an uninsulated pipe at 90 ° C. The product flow rate is 0.3 kg / s and has a density of 1000 kg / m³, specific heat 4 kJ / (kg K), a viscosity of 8 x 10-6 Pa s, and a thermal conductivity of 0.55 W / (m) K). Assume that the change in viscosity is negligible. The internal diameter of the pipe is 30 mm with a thickness of 3 mm made of stainless steel (k = 15 W / [m ° C]). The outside temperature is 15 ° C. If the outer convective heat transfer coefficient is 18 W / (m² K), calculate the heat loss at steady state per meter pipe length. a. Find the convection coefficient in the pipe = Answer W / m² ° C. b. Calculate heat loss per meter pipe length = Answer watt.arrow_forward
- l MTN 1/1 4:26 PM 80% An oil with density 900 kg/m3 and flow rate 0.0002 m2/s flows upward through an inclined pipe as shown in figure below, The pressure at sections 1 and 2 are P1 = 350 kPa and P2 = 250 kPa, and the elevation at section 1 z1 = 0, Sections 1 and 2 are 10 m apart (L = 10 m) and the pipe is inclined at 40°. The pipe diameter is 6 cm. Assuming steady laminar flow, (a) Verify that the flow is up, (b) Compute hr between 1 and 2, (c) What is the flow rate Q, (d) Find the flow velocity, V, (e) Verify if the flow is really laminar. Flow OR directionarrow_forwardA 6 kg/s of hot liquid flow continuously without leaking in a 40 mm inside diameter with thickness of 7 mm pipe with temperature of 50℃. Thermal conductivity of pipe is 10W/(m℃) and surface conductance of liquid is 9W/(m^2℃). The outer fluid has temperature of 25℃ and surface conductance of 6W/(m^2℃). Cp of hot liquid = 4.2KJ/(Kg℃). Find the minimum length of pipe in meters just to cool down the hot liquid as much as possible if the maximum heat transfer is the constant heat transfer throughout the pipe.arrow_forwardA saturated steam at 410K is being transported in a pipeline (brass drawing tubing) at a rate of 1 grams/second. Pipe has inside diameter of 0.025 m . The tube is 100m long. The pressure at the entrance is 80kPa. (use Perry's Handbook for the properties and constants) R = 8314J/kg mol K; MW=18.02g/mol a. What is the value of G in kg/s.m2? b. What is the value of friction factor? c. What is the % of pressure drop? d. Calculate the outlet pressure.arrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning