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A spherical, stainless steel (AISI 302) canister is used to store reacting chemicals that provide for a uniform heat flux q; to its inner surface. The canister is suddenly submerged in a liquid bath of temperature
(a) Assuming negligible temperature gradients in the canister wall and a constant heat flux
(c) The convection coefficient depends on the velocity associated with fluid flow over the canister and whether the wall temperature is large enough to induce boiling in the liquid. Compute and plot the steady-state temperature as a function of h for the range
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Chapter 1 Solutions
Introduction to Heat Transfer
- For what situations will the lumped capacitance method be valid if a solid is in contact with a fluid? Circle all appropriate answers. (a) The resistance to conduction within the solid is small compared to the resistance to convection due to a fluid. (b) The temperature gradient within the solid is large. (c) The Biot number is small (less than 0.1). (d) All of the above. (e) None of the abovearrow_forwarda) First, let's start with the steady-state analysis for the cable. What is the steady-state temperature of the wire surface if this current has been passing through the cable for a long period of time in these underwater conditions? Enter only a numeric value (with no units entered) and express your answer in ∘C. b) Now, let's think about the transient case. Assume that the cable starts at the same uniform temperature as the water and then the electrical current is passed through the cable. We're now interested in the amount of time it takes to heat up. Start by calculating the Biot number for this scenario. Enter only a numeric value (your answer should be unitless). c)arrow_forwardA spherical, stainless steel (AISI 302) canister is used to store reacting chemicals that provide for a uniform heat flux qi'' to its inner surface. The canister is suddenly submerged in a liquid bath of temperature Tambient < Ti, where Ti is the initial temperature of the canister wall. (a) Assuming negligible temperature gradients in the canister wall and a constant heat flux qi'', develop an equation that governs the variation of the wall temperature with time during the transient process. What is the initial rate of change of the wall temperature if qi'' = 105 W/m^2? (b) What is the steady-state temperature of the wall? (c) Determine the wall temperature as a function of time.arrow_forward
- A spherical, stainless steel (AISI 302) canister is used to store reacting chemicals that provide for a uniform heat flux q”i to its inner surface. The canister is suddenly submerged in a liquid bath of temperature T∞ i, where Ti is the initial temperature of the canister wall. (a) Assuming negligible temperature gradients in the canister wall and a constant heat flux , develop an equation that governs the variation of the wall temperature with time during the transient process. What is the initial rate of change of the wall temperature if q”I = 105 W/m2? (b) What is the steady-state temperature of the wall? (c) The convection coefficient depends on the velocity associated with fluid flow over the canister and whether the wall temperature is large enough to induce boiling in the liquid. Compute and plot the steady-state temperature as a function of h for the range 100 ≤ h ≤ 10,000 W/m2 ∙ K. Is there a value of h below which operation would be unacceptable?arrow_forwardOnly answer if you are 100% sure otherwise i will downvote... An ASTM B75 copper tube sheathes a heating element that is used to boil water at 1254 kPa. The copper tube is immersed horizontally in the water, and its surface is polished. The tube diameter and length are 5 mm and 9.5 cm, respectively. The maximum use temperature for ASTM B75 copper tube is 204°C. Determine the highest evaporation rate of water that can be achieved by the heater without heating the tube surface above the maximum use temperature. Use the property tables to calculate the properties of water at saturation temperature. The surface tension 0 at 190°C is 0.03995 N/m. Also, Csf 0.0130 and 10 for the boiling water on a polished copper surface. The highest evaporation rate of water is g/s?arrow_forwardThe physics of the convection heat transfer of thermosses phenomenon and the mathematical model should be discussed.arrow_forward
- A chromel–constantan thermocouple measuring the temperature of a fluid is connected by mistake with copper–constantan extension leads (such that the two constantan wires are connected together and the copper extension lead wire is connected to the chromel thermocouple wire). If the fluid temperature was actually 250 C and the junction between the thermocouple and extension leads was at 90 C, what e.m.f. would be measured at the open ends of the extension leads if the reference junction is maintained at 0 C? What fluid temperature would be deduced from this (assuming that the connection error was not known)?arrow_forwardWhat is the minimum amount of ice at OPC that must be added to the contents of a can of diet cola (340m) to cool it down from 20.5C to 0C Assume that the specific heat and density of the diet colo are the same as for water and that no heat is gained or lost to the surroundings. The latent heat of fusion of ice à 3353/g Specific Heat of water 4.184 J/gK and Density of water is 1 g/mLarrow_forwardPls answer q3(as I am still not sure whether or not I did q2 correctly)arrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
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