
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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You are asked to determine the concentration of a diffusing gas at a given depth on a metal surface after a given time. If you know the temperature of the metal, the surface concentration of the gas, and the diffusion coefficient, describe how you would approach this problem.
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- Gaseous hydrogen at a constant pressure is to flow within the inside of a thin-walled cylindrical tube of nickel. Consider the steady-state diffusion of hydrogen through the walls of this cylindrical nickel tube. One design calls for a diffusion flux of 5 x 10-8 mol/m2.s, a tube radius of 0.125 m, and inside and outside pressures of 0.5065 MPa (5 atm) and 0.0203 MPa (0.2 atm), respectively; the maximum allowable temperature is 450°C. In case the wall thickness is 2 mm and the yield strength is greater than twice the circumferential stress, what would be the temperature to give this diffusion flux and yet ensure that the tube walls will not experience any permanent deformation? i °Carrow_forward6. A sheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200C and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is 6 10-11 m2/s, and the diffusion flux is found to be 1.2 10-7 kg/m2-s. Also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 4 kg/m3. How far into the sheet from this high-pressure side will the concentration be 2.0 kg/m3? Assume a linear concentration profile.arrow_forwardAluminum atoms are to be diffused into a silicon wafer using both predeposition and drive-in heat treatments; the background concentration of Al in this silicon material is known to be 3.5 × 101⁹ atoms/m³. The drive-in diffusion treatment is to be carried out at 1050°C for a period of 4.0 h, which gives a junction depth x; of 3.0 µm. Compute the predeposition diffusion time at 950°C if the surface concentration is maintained at a constant level of 2 x 1025 atoms/m³. For the diffusion of Al in Si, values of Qd and Do are 3.41 eV and 1.38 × 10-4 m²/s, respectively.arrow_forward
- I am trying to calculate surface concentration: gamma = -(1/RT)(dy/d(ln(C)) and express in units of mol/m^2. However I cannot seem to get the units right. I am unsure which R gas constant units to use. I need to convert the (dy/d(ln(C)) units: (dyn/cm)(mol/L) into terms of mol/m^2. And the same for the R gas constant units.arrow_forwardA thermal evaporator is used to deposit aluminum. The aluminum charge is maintained at a uniform temperature of 1100 o C. If the the vapor pressure of aluminum is about 1x10-3 torr at that temperature, calculate the evaporation rate of aluminum?arrow_forwardThermal fluid mechanics Detailed solution With an understanding of the laws of the subjectarrow_forward
- True or False? Justify your answer. A. In a rectangular drug delivery device that consists of a drug reservoir and a diffusion barrier made of a polymer gel, the steady state diffusion (mass transfer) rate through a barrier of thickness 1 cm was found to be 20 mg/day. If the barrier thickness were to be doubled keeping the reservoir drug concentration the same, the mass transfer rate would be 10 mg/day. B. In a spherical drug delivery device consisting of a core reservoir surrounded by a polymer gel barrier, the steady state diffusion (mass transfer) rate through a barrier of thickness 1 cm was found to be 20 mg/day. If the barrier thickness were to be doubled keeping the reservoir drug concentration the same, the mass transfer rate would be 10 mg/day.arrow_forwardMany biological tissues have layers with different extracellular matrix components and different orientations of these components. As a result, diffusion coefficients vary from region to region. Even within a region, the diffusion coefficient depends on the direction of transport, a situation know as anisotropy. Consider the steady-state, one-dimensional diffusion of a molecule across an artery wall consist of an acellular phase and a cellular phase. There are no chemical reactions. An example of such a tissue is an elastic artery that contains a layer of smooth muscle cells of thickness L1 and an elastic lamina of thickness L2. (Actually, an artery consists of repeating layers of elastin and smooth muscle cells, but for the present discussion, consider a single layer of each.) The molecule diffusion coefficients of the two layers are Di, 1 and Di, 2 respectively. The concentration of the molecule at the lumen surface (x = 0) is C0, and the concentration at x = L1 + L2 = L is CL. L1 =…arrow_forwardThe diffusion coefficients for carbon in nickel are given at two temperatures: T(°C) D (m²/s) (a) Determine the value of Do. i (b) Determine the value of Qd. i i kJ/mol (c) What is the magnitude of D? at 810°C. 600 700 ! m²/s (Use scientific notation.) 5.5 x 10-14 3.9 × 10-13 m²/s (Use scientific notation.)arrow_forward
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