By Nellis G., Klein S.
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Extra info for Heat transfer
For this problem, a detailed analysis of conduction through the metal liner or a lengthy search for the most accurate value of the thermal conductivity of the metal would be a misguided use of time whereas a more accurate measurement of the conductivity of the insulation might be important. c) Plot the rate of heat transfer to the liquid oxygen as a function of the insulation thickness. In order to generate the requested plot, it is necessary to parametrically vary the insulation thickness. 0 [cm]} “thickness of insulation, in cm” 23 and a parametric table is generated (select New Parametric Table from the Tables menu) that includes the variables th ins cm and q dot (Figure 3).
Right-click on the th_ins_cm column and select Alter Values; vary the thickness from 0 cm to 10 cm and solve the table (select Solve Table from the Calculate menu). Prepare a plot of the results (select New Plot Window from the Plots menu and then select X-Y Plot) by selecting the variable th_ins_cm for the X-Axis and q_dot for the Y-Axis (Figure 4). Figure 4: New Plot Setup Window. 2 Steady-State 1-D Conduction without Generation One-Dimensional, Steady-State Conduction Figure 5 illustrates the rate of heat transfer as a function of the insulation thickness.
In non-metals, the energy is carried by phonons (or lattice vibrations), while in liquids the energy is carried by molecules. org/ nellisandklein) and discusses the application of Eq. (1-11) to the particular case of an ideal gas where the energy carriers are gas molecules. 1 Introduction Chapters 1 through 3 examine conduction problems using a variety of conceptual, analytical, and numerical techniques. We will begin with simple problems and move eventually to complex problems, starting with truly one-dimensional (1-D), steady-state problems and working ﬁnally to two-dimensional and transient problems.