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A common procedure for measuring the velocity of an airstream involves the insertion of an electrically heated wire (called a hot-wire anemometer ) into the airflow, with the axis of the wire oriented perpendicular to the flow direction. The electrical energy dissipated in the wire is assumed to be transferred to the air by forced convection. Hence, for a prescribed electrical power, the temperature of the wire depends on the convection coefficient, which, in turn, depends on the velocity of the air. Consider a wire of length
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Chapter 1 Solutions
Introduction to Heat Transfer
- A J- type thermocouple is used to measure the temperature in a heating process. Sheath material used is SS316. The length of the sheath is 13mm and thickness is 0.3mm. Find the time constant of the sheath. Material QU(kg/m)s(J/Kg - °c) K(W/m-k) Platinum 21450 130 71.6 SS304 8030 500 21.4 SS316 7990 500 21.4 SS410 7750 460 24.9 Air 1.20 1005 0.025 MgO Powder 3580 877 26.8 Silicon compound3210 800 Time constant of the bare material is, T=arrow_forwardany help would be much appreciated thanksarrow_forwardA J- type thermocouple is used to measure the temperature in a heating process. Sheath material used is SS316. The length of the sheath is 13mm and thickness is 0.3mm. Find the time constant of the sheath. Material Q(kg/m3)s(J/Kg - °c)K(W/m-k) Platinum 21450 130 71.6 SS304 8030 500 21.4 SS316 7990 500 21.4 SS410 7750 460 24.9 Air 1.20 1005 0.025 MgO Powder 3580 877 26.8 Silicon compound3210 800 3 Time constant of the bare material is, T=arrow_forward
- Let's say a 3.0 gram copper wafer is dropped from a height of 50.0 meters. If 60% of the potential energy lost in the drop could be converted to thermal energy used to heat the copper from an initial temperature of 25 degrees celsius, what would the final temperature of the copper wafer? Would the answer be different if the wafer has a mass greater than 3 grams? Note: the specific heat of copper is 387 J/(kg*K). The temperature is between 25.8 and 26.0 degrees celsius, yes the bigger the mass the greater the energy. O The temperature is between 25.6 and 25.8 celsius, answer does not depend on mass. O The temperature is between 25.0 and 25.2 celsius, answer does not depend on mass. O The temperature is 25.5 and of course the more mass something has the greater energy will be needed to raise the temperature. The temperature is 26.2 and if the mass is doubled so will be the change in temperature. O The temperature is 25.9 degrees celsius and the answer does not depend on mass. O The…arrow_forwardRelationship to Thermodynamics 4. An electrical resistor is connected to a battery, as shown schematically. After a brief transient, the resistor assumes a nearly uniform, steady-state temperature of 95 °C, while the battery and lead wires remain at the ambient temperature of 25 °C. Neglect the electrical resistance of the lead wires Battery V=24 V Resistor dEst dt Air T. = 25C Lead wire (a) Consider the resistor as a system about which a control surface is placed and Equation 1.12c is applied. Determine the corresponding values of Ein(W), Eg(W), Eout (W), and Est(W). If a control surface is placed about the entire system, what are the values of in, Eg, Eout, and Est? (1.12c) Est Ein - Eout + Eg (b) If electrical energy is dissipated uniformly with in the resistor, which is a cylinder of diameter D= 60 mm and length L=250 mm, what is the volumetric heat generation rate, (W/m3)? (c) Neglecting radiation from the resistor, what is the convection coefficient?arrow_forwardWrite the appropriate Nusselt value for the each set of conditions provided below.1. Forced convection over a flat plate at constant qs. Calculated Re at mean temperature is 3500 and Pr= 0.7154. 2. Natural convection in a small holding tank with a heating element at the bottom. The calculated Ra number is 2.37 x10^93. Forced convection through an elliptical duct at constant Ts, where a/b=8. The temperature of the fluid at the inlet is higher than at the exit. Flow is fully developed with Re = 33370 and Pr= 0.693. 4. Natural convection over a sphere with Ra = 5 x 10^9 and Pr = 0.7362 PS. Do not round off intermediate valuesarrow_forward
- A solid steel cube is stored in a freezer, where the temperature is −20.0 ̊C. While the cube is in the freezer, you measure its side length (L) to be 1.75050 meters. The cube is then placed outside for a long time, so that the temperature of the cube reaches the temperature of the air outside. As a result, the side length increases to 1.75170 meters due to thermal expansion. The coefficient of linear expansion for steel is 12.0×10−6 ̊C−1. (a) What is the temperature of the air outside? Give your answer in degrees Celsius ( ̊C). (b) What is the volume of the cube when its temperature is 20.0 ̊C? Give your answer in cubic meters (m3).arrow_forwardA composite wall consists of wood and steel. The bond between the wood and steel is not perfect, resulting in small air gaps at the interface. At steady-state, temperature 1 (T1) is greater than temperature 2 (T2). Which of the following represents the temperature distribution? I wood steel T2 T2 а. d. b. е. T2 с.arrow_forwardPlease help me fast.arrow_forward
- Radioactive wastes are packed in a thin-walled spherical container. The wastes generate thermal energy nonuniformly according to the relation ġ = ġ, 1–(r/r.)* | where ġ is the local rate of energy generation per unit volume, ġ, is a constant, and r, is the radius of the container. Steady- state conditions are maintained by submerging the container in a liquid that is at T, and provides a uniform convection coefficient h. Coolant T, h - ġ = 4, [1– (rlr,²] 11arrow_forwardA J- type thermocouple is used to measure the temperature in a heating process. Sheath material used is SS316. The length of the sheath is 10mm and thickness is 0.2mm. Find the time constant of the sheath. Material Q(kg/m3) s(J/Kg - oc) K(W/m-k) Platinum 21450 130 71.6 SS304 8030 500 21.4 SS316 7990 500 21.4 SS410 7750 460 24.9 Air 1.20 1005 0.025 MgO Powder 3580 877 26.8 Silicon compound 3210 800 3 Time constant of the bare material is, T= Answerarrow_forward!arrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
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