1. An infinite parallel-sided slab of non-dimensional thickness L 1, has an initial (at non-dimensional time t= 0) temperature distribution To (x) given in below. Its left and rightends are subsequently (for t> 0) maintained at temperatures T1, and T2, respectively.The initial temperature distribution is given by T.(x) = 250*x*sin(rx) K, and theboundary temperatures for t> 0 are: T = 50K and T2 = 100K. Use 10 intervals in the x-direction, and At = 0.01.(a) Write the equations you'll be using to solve the problem in matrix form, using theimplicit method. The coefficient matrix and the right-hand-side vector should shownumerical values. Do not write every value, but use the matrix representation given in thepresentation slides so you can fit the answer in the width of the page. Your equationsshould be for solution at time level (n=2), where n = Irepresents time t = 0.

It is asked to generate an implicit model for unsteady-state one-dimensional heat conduction…

Answered: An infinite parallel-sided slab of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A piece of beef steak 7 cm thick will be frozen in the freezer room -40 ° C. This product has a moisture content of 73%, a density of 970 kg / m³, and a thermal conductivity (frozen) of 1.1 W / (m K). Estimate the freezing time. using the Plank equation. This product has an initial freezing temperature of -1.75 ° C, and the movement of air in the freezing room gives a convective heat transfer coefficient of 15 W / (m² K). t f = Answerhour.
2. Consider the temperature distributions associated with a dx differential control volume within the one-dimensional plane walls shown below. dx dx (b) Tr,1) dx dx le) (d) (a) Steady-state conditions exist. Is thermal energy being generated within the differential control volume? If so, is the generation rate positive or negative? (b) Steady-state conditions exist as in part (a). Is the volumetric generation rate positive or negative within the differential control volume? (c) Steady-state conditions do not exist, and there is no volumetric thermal energy generation. Is the temperature of the material in the differential control volume increasing or decreasing with time? (d) Transient conditions exist as in part (c). Is the temperature increasing or decreasing with time?
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A long cylinder of radius, ro = 2.8cm, thermal conductivity k = 225 S mk thermal diffusivity 1.10 kJ and initial temperature, T = 200°C is kgK suddenly exposed to a convective environment at To 65°C with a convection coefficient, a = 6.82x105 m², specific heat, c h=510- W Watch your units on this one! m²K Determine the temperature at the center of the cylinder after t 130s, time, of exposure to the convective environment in degrees Celsius. 97.14C 95.30 198.08 70.94
Consider 1D heat conduction in a Cu rod with an average temperature of 25C. Does there exist a maximum (or upper-limit value) temperature gradient for heat conduction. If so, what is that value with justification on the derivation/scientific reasoning. The thermal conductivity is k=385 W/m*K. The diameter of the rod is left in terms of d.
Consider the square channel shown in the sketch operating under steady state condition. The inner surface of the channel is at a uniform temperature of 600 K and the outer surface is at a uniform temperature of 300 K. From a symmetrical elemental of the channel, a two-dimensional grid has been constructed as in the right figure below. The points are spaced by equal distance. Tout = 300 K k = 1 W/m-K T = 600 K (a) The heat transfer from inside to outside is only by conduction across the channel wall. Beginning with properly defined control volumes, derive the finite difference equations for locations 123. You can also use (n, m) to represent row and column. For example, location Dis (3, 3), location is (3,1), and location 3 is (3,5). (hint: I have already put a control volume around this locations with dashed boarder.) (b) Please use excel to construct the tables of temperatures and finite difference. Solve for the temperatures of each locations. Print out the tables in the spread…
Transient Heat Conduction Cooking a Thanksgiving turkey is an art form and, if your skills in the kitchen are like mine, it is sometimes more of a mystical, elusive art form. Thankfully, science also has much to contribute in the kitchen as well as the laboratory. Let us consider the change in temperature of a common, 20-lb holiday fowl as it is cooked in a convection oven. To simplify the analysis, let's assume the bird can be modeled as a uniform sphere of radius 7.0 in. with a specific heat of 3.53 kJ/kg-K. Moreover, the turkey will be assumed to have a uniform temperature, T, throughout that will change with time as it is cooked according to the following relationship: 。 + (To - T∞)ept T(t) = T∞ + where To is the initial temperature of the turkey, T∞, is the oven temperature, V is the volume of the turkey, As is the surface area of the turkey, and h is the convection coefficient for the scenario which is 11.3 W/m²-K. If the oven is set to 325 °F and the initial temperature of the…
A flat plate in an ambient at temperature Tꝏ received from a source the net radiant heat flux q” (fig. 3-52). The thickness of the plate d is much less than its length 2L; the third dimension of the plate extends to infinity. The heat transfer coefficient from the ends of the plate, if needed, may be taken to be h3 ≠h1 ≠h2. Find the temperature distribution in the system. Please type answer note write by hend.

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