×

# As in Fig. P24.22, an insulated metal rod has a fixed temperature (T0) boundary

ISBN: 9780073401102 336

## Solution for problem 24.22 Chapter 24

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition

4 5 0 368 Reviews
26
0
Problem 24.22

As in Fig. P24.22, an insulated metal rod has a fixed temperature (T0) boundary condition at its left end. On it right end, it is joined to a thin-walled tube filled with water through which heat is conducted. The tube is insulated at its right end and convects heat with the surrounding fixedtemperature air (T). The convective heat flux at a location x along the tube (W/m2 ) is represented by Jconv = h(T T2(x)) where h the convection heat transfer coefficient [W/(m2 . K)]. Employ the finite-difference method with x 0.1 m to compute the temperature distribution for the case where both the rod and tube are cylindrical with the same radius r (m). Use the following parameters for your analysis: Lrod=0.6 m, Ltube = 0.8 m, T0 = 400 K, T = 300 K, r = 3 cm, 1 = 7870 kg/m3 , Cp1 = 447 J/(kg . K), k1 = 80.2 W/(m . K), 2 = 1000 kg/m3 , Cp2 = 4.18 kJ/(kg . K), k2 = 0.615 W/(m . K), and h = 3000 W/(m2 . K). The subscripts designate the rod (1) and the tube (2). T0

Step-by-Step Solution:
Step 1 of 3

Weekly Notes #s - Monday February 15,296 allqthepkysiulhlueslXliveintherangefletDPxGD-PCx-xjtpMFPxCxtPxCxtFxtxHPCxcDtcDFz4f3ttxI.YaxxI.YaxFxCx7-PkcXkDFIPMFtTloe-toounelationship-ifyonhaueone.youcanfindtheotheneDAhentrepreneusinveubsomethingusefdtosduanaveragepessorisdailypnb6ms.andtheytytopredicttheinventioisohtcomes.TheyKnowthattheresultisrandom.buttheywauttobeatleastsomewhatcorrecttobeabletoputitonaninfomercialtosell.PxlxhsE@okWhattoexIzbefoudoinganexpesimeutuExpeot6eTedLhlmanvan.awexTtew-HHHdHTnotalwapthSamenumberomEW-OtHtWD-t1Xt1Yyt-XTExpectJxEH-GXHtlDltD-oKHrxpwgeofx-Sx-EXs.sxn2sexpeotation-7ECxkExiPiBernoullfsorelosesGiveE2gEki-oHDtlxtp-PBinomial-doitKnowHoftestsuntil

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution

As in Fig. P24.22, an insulated metal rod has a fixed temperature (T0) boundary

×