6 16. A thin plate of sides r units has its horizontal sides insulated against the flow of heat.The vertical sides are maintained at 0°. The initial temperature is f(x, y). Find thetemperature (r, y, t) inside the plate at any time t. Assume a? = 1 and no heatgeneration.

A thin plate of side π is given with both dirichlet condtioni.e. vertical sides are maintained at…

Answered: 16. A thin plate of sides T units has…

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter6: Forced Convection Over Exterior Surfaces

Section: Chapter Questions

Problem 6.51P

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An ideal gas flows through a horizontal tube at steady state. No heat is added, and no shaft work is done. The cross-sectional area of the tube changes with length and this causes the velocity to change. (a) Derive an equation relating the temperature to the velocity of the gas.(b) If nitrogen at 150 [°C] flows past one section of the tube at the velocity of 2.5 [m/s], what is the temperature at another section where its velocity is 50 [m/s]? Let Cp = 7/2R.
1.1 Determine the electrical power supplied to a boiler when the temperature of the enteringwater is 20 C and the exiting temperature is 89 C. The flow of.the pressured water is 2 Kg/s. There is anegligible pressure drop through this boiler and it operates at a constant pressure of 3 bars. The specificheat is c = 4,370 J/(Kg K). There is a 1.5(105) W rate of heat loss from the boiler during this process to asurrounding at 293.2 k. Consider steady state conditions.1.2 Calculate the total rate of entropy production in Problem 1.1.1.3 Calculate the total rate of exergy destruction (W) in Problem 1.1. The dead statetemperature is 293.2 K and pressure is 1 bar.1.4 Calculate the mass flowrate of fuel (natural gas, CH4) required to heat the water flow to theconditions of problem 1.1 if the electrical heating device is replaced with a gas fired boiler. The highheating value (HHV) of the fuel is 50.02 MJ/kg.1.5 Calculate the exergy destroyed in the process described by problem 1.4. The exergy…
1.1 Determine the electrical power supplied to a boiler when the temperature of the enteringwater is 20 C and the exiting temperature is 89 C. The flow of.the pressured water is 2 Kg/s. There is anegligible pressure drop through this boiler and it operates at a constant pressure of 3 bars. The specificheat is c = 4,370 J/(Kg K). There is a 1.5(105) W rate of heat loss from the boiler during this process to asurrounding at 293.2 k. Consider steady state conditions.1.2 Calculate the total rate of entropy production in Problem 1.1.1.3 Calculate the total rate of exergy destruction (W) in Problem 1.1. The dead statetemperature is 293.2 K and pressure is 1 bar.1.4 Calculate the mass flowrate of fuel (natural gas, CH4) required to heat the water flow to theconditions of problem 1.1 if the electrical heating device is replaced with a gas fired boiler. The highheating value (HHV) of the fuel is 50.02 MJ/kg.1.5 Calculate the exergy destroyed in the process described by problem 1.4. The exergy…
The ice maker inside a refrigerator makes ice cubes at 0.0°C from water that is at 17.2°C when it first enters the ice maker. If this machine is rated at 184 W and has a 2.96 coefficient of performance, what is the maximum amount of ice it can produce in a 24 hour period without any interruption or stoppage? Assume that the ice maker works just like a refrigerator. The specific heat of water is 4184 J/(kg · °C), and the latent heat of fusion of ice is 33.4 ✕ 104 J/kg.
Determine the mass flow rate fuel supplied to a boiler when the temperature of the entering water is 20 C and the exiting temperature is 89 C. The flow of.the pressured water is 2 Kg/s. There is a negligible pressure drop through this boiler and it operates at a constant pressure of 3 bars. The specific heat is c = 4,370 J/(Kg K). There is a 150000W rate of heat loss from the boiler during this process to a surrounding at 293.2 k. Consider steady state conditions. The high heating value (HHV) of the fuel is 50.02 MJ/kg. The cost of the fuel based boiler system is $5000 and has a lifetime of 20 years. The fuel cost is $0.10/kg. There is a tax charge of $0.50/kg of CO2 emission that is passed on to the user. The unit is used for 10 hours per day, 280 days per year. Calculate carbon dioxide emission and theroeconomic cost? There is no cost associated with the water input. Note the total amount of fuel consumed is directly related to the carbon dioxide emission from each process.
The condensing pressure for a Rankine engine is 0.001325 MPavac. Calculate the following for steam flow rate = 1 kg/sec of steam when the steam at the beginning of expansion is at 119.6 deg SH and 4.0 Mpaa. Draw the TS and equipment diagrams for the ideal and actual case and find for the following for the ideal case: Ideal turbine work (KW). Ans.____________________________ Heat rejected at condenser (KJ/sec). Ans.____________________________ Mass of cooling water in kg/sec if cp H2O = 4.18 KJ/kg-K, and inlet temp of water to condenser = 20 deg C, outlet temp is 35 deg C. Ans.____________________________ Pump work in KW. Ans.___________________________
The condensing pressure for a Rankine engine is 0.001325 MPavac. Calculate the following for steam flow rate = 16.3846 kg/sec of steam when the steam at the beginning of expansion is at 119.6 deg SH and 4.0 Mpaa. Draw the TS and equipment diagrams for the ideal and actual case and find for the following for the ideal case: Combined work (KW) . Ans.____________________________ Combined steam rate in kg/KW-hr. Ans.___________________________ Actual heat rate( KJ/KW-hr). Ans.____________________________
Determine the electrical power supplied to a boiler when the temperature of the entering water is 20 C and the exiting temperature is 89 C. The flow of.the pressured water is 2 Kg/s. There is a negligible pressure drop through this boiler and it operates at a constant pressure of 3 bars. The specific heat is c = 4,370 J/(Kg K). There is a 150000W rate of heat loss from the boiler during this process to a surrounding at 293.2 k. Consider steady state conditions. Calculate the total rate of entropy production in Problem. Calculate the total rate of exergy destruction (W) in Problem 1.1. The dead state temperature is 293.2 K and pressure is 1 bar.
Determine the electrical power supplied to a boiler when the temperature of the entering water is 20 C and the exiting temperature is 89 C. The flow of.the pressured water is 2 Kg/s. There is a negligible pressure drop through this boiler and it operates at a constant pressure of 3 bars. The specific heat is c = 4,370 J/(Kg K). There is a 1.5(105) W rate of heat loss from the boiler during this process to a surrounding at 293.2 k. Consider steady state conditions. Calculate the total rate of entropy production. Calculate the total rate of exergy destruction (W) in Problem 1.1. The dead state temperature is 293.2 K and pressure is 1 bar.
A steam trap is a device to purge steam condensate from a system without venting uncondensed steam. In one of the crudest trap types, the condensate collects and raises a float attached to a drain plug. Whenthe float reaches a certain level, it “pulls the plug,” opening the drain valve and allowing the liquid to discharge. The float then drops down to its original position and the valve closes, preventing uncondensed steam from escaping.(a) Suppose saturated steam at 25 bar is used to heat 100 kg/min of an oil from 135°C to 185°C. Heat must be transferred to the oil at a rate of 1:00 x 10 4 kJ/min to accomplish this task. The steam condenses on the exterior of a bundle of tubes through which the oil is flowing. Condensate collectsin the bottom of the exchanger and exits through a steam trap set to discharge when 1200 g of liquid is collected. How often does the trap discharge?(b) Especially when periodic maintenance checks are not performed, steam traps often fail to close completely…
Steam enters the steam-generating unit at a pressure of 20 bar and dryness of 0.96 and leaves at the same pressure at a temperature of 350°C. Mass flow rate of steam is 5 kg/s. Find the percentage increase in volume (%) due to drying and superheating.
Determine the electrical power supplied to a boiler when the temperature of the entering water is 20 C and the exiting temperature is 89 C. The flow of.the pressured water is 2 Kg/s. There is a negligible pressure drop through this boiler and it operates at a constant pressure of 3 bars. The specific heat is c = 4,370 J/(Kg K). There is a 150W rate of heat loss from the boiler during this process to a surrounding at 293.2 k. Consider steady state conditions.Calculate the total rate of entropy production in

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