HEAT TRANSFER - EXAMPLE 5.3 : In a cylinder with a hollow, let a is outside radius and b is the inside radius. In a steady state temperature distribution with no heat generation, the differential equation is (d / dr) (r dT / dr) = 0 where r is for radius and T is for temperature. (a) Integrate the heat equation above into T(r) in term of r. (b) At r = a, T = c; at r = b, T = d. Find the heat equation of T(r) in term of r, a, b, c, d.
- 1 Answers
- 1691 Views
- I also Faced
- E-Mail Answers
Answer Posted / kangchuentat
HEAT TRANSFER - ANSWER 5.3 : Let r (dT / dr) = e, then dT / dr = e / r. T(r) = e ln r + f by integrating both sides where e and f are constants. (b) Let c = e ln a + f and d = e ln b + f. Subtracting both equations gives c - d = e (ln a - ln b) = e ln (a / b). Then e = (c - d) / [ ln (a / b) ] and f = d - e ln b. T(r) = e ln r + d - e ln b = e ln (r / b) + d = (c - d) [ ln (a / b) ] ln (r / b) + d. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.
| Is This Answer Correct ? | 0 Yes | 0 No |
Post New Answer View All Answers
We have some pieces of metals that have been 'powder coated', how does that work?
Explain how can you determine the largest impeller that a pump can handle?
What is a good source of information for the design of pressure vessels?
What is fuel requirement of 20kg/hr of incineration having material calorific value 6500 kcal/kg and diesel calorific value 10707 Kcal/Kg (PCC=850 degC and SCC 1050 Deg c)
In Pressure Sfety Valve(PSV) 2" by pass line why given for process units.
Explain the steps required to design a vapor-liquid separator or flash drum?
What are angle of repose applications in the chemical industry?
How can separation of chiral chemicals affect the chemical and/or pharmaceutical industries?
Is there a difference in mtd (mean temperature difference) between 'e' and 'j' (divided flow) type shell and tube heat exchangers?
Explain how can I evaluate the thermal relief requirements for double block-in of 98% sulfuric acid?
Explain the difference between cfm (cubic feet per minute) and scfm (standard cubic feet per minute)?
Dielectric materials in static fields
In a crusher where is the energy provided to it is used up for?
How does hollow shaft impeller works? Does it based on principle of pitot tube?
Explain the steps taken to operate a tank-blanketing valve?
