Derive each temperature distribution for each tip condition from the general equastion theta(x)=C1e^mx + C2e^-mx usinf...
1. In class, we examined in detail case "C" of table 3.4 on page 150 of your text. Prove the expressions provided in the table for cases A, B, and D. Specifically, start from the general equation 3.67, and apply at x-L the boundary condition on the second column of Table 3.4 for each of the cases. Then, solve the differential equation and acquire the information on the third and the fourth column. Hint In some cases, you will need...
Complete the excel sheet to find the temperature distribution
along a cylindrical fin with convected tip.
One-Dimensional Temperature Distribution along a Fin with convection at the tip Solution with Matrix Inverse Method AI ITI= IBI т. Find the temperature distribution by matrix BI ITI JAI inversion method T19T31) MMULTIB19N31.019 0311- B19N30 MINVERSEIB2N4 ) Steps: 1. Invert coefficient matrix JAblock off NxN cells; type {-MINVERSE (B2 N14)), then [Ctrl+Shift+Enter]. by column matrix IBI- 2. Multiply inverted coefficient matrix JA - block...
QUESTION 4 The temperature distribution for a long fin with uniform cross section is cosh[m(L - x)] cosh(ml) where b means base, O = T - To, m= rand A and P are the area and perimeter of the cross- section. K is in air at A long copper rod of diameter D = 1.5 cm, L = 20 cm, and thermal conductivity 380 W/ m 20°C. The temperature at the base is 150°C. If m = 6 m-7, the...