Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Write an excel code to graph different temperatures. dtdT=c(D2/4)I2ReDh(TT)D(T4Tav4) The radiation term renders this differential equation nonlinear, so a numerical solution is required. Express the
Write an excel code to graph different temperatures.
dtdT=c(D2/4)I2ReDh(TT)D(T4Tav4) The radiation term renders this differential equation nonlinear, so a numerical solution is required. Express the differential equation in finite difference form. Using a computer tool of your choice (Excel is recommended), solve for the temperature of the wire as a function of time until the wire achieves a steady temperature. Use a small enough time step to maintain computational accuracy. Set the initial temperature of the wire to T, the surrounding fluid temperature. The following quantities are constant: D=0.8118mm (wire diameter, 20 gage) Re=0.03331/m (electrical resistance of pure copper per meter of wire length) I=25A (electrical current) T=300K (surrounding fluid temperature) Tsur=280K (surrounding temperature for radiation exchange) =8933kg/m3 (density of pure copper) c=385J/kgK (specific heat of pure copper) =5.669108W/m2K4 (Stefan-Boltzmann constant) Results After your program is working, calculate the temperature history of the wire for the following four cases: Note that in case 3, radiation is "turned off" whereas in case 4, convection is "turned off." On the same graph, plot the wire's temperature history for the four cases. Extend the plots far enough in time to indicate the steady temperature of the wire. Use Excel for the analysis and to graph the results
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started