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Bioheat Numberical problem

$10-30 USD

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Posted almost 8 years ago

$10-30 USD

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Biomedical Heat Transfer Numerical problem Due 04/07/16 Budget :20 USD only Obtain a numerical solution by the method of finite volumes to the heating due to electric current circulation in the block shown in figure below. Solve the thermal problem for cartesian coordinates. The governing equation of the electrical part of this problem is, according to the theory developed in class (equation 2.21): ∇ · ∇(σV ) = 0 or, for cartesian coordinates and a constant electrical conductivity σ The section to be analyzed has dimensions L =0.1 m by L =0.1 m, and has electrical conductivity σ = 0.188 S/m. The coordinate system is fixed in the upper right corner, as shown in figure. The shaded boundaries are electrically and thermally insulated, while the arrowed boundary represents a uniform current being injected into the section while the temperature there is kept at chilled water temperature. The right and bottom boundaries have a voltage equal to zero and temperatures equal to the basal temperature. The thermal properties of the tissue are k = 0.512 W/m·K, ρ = ρa = 1000kg/m3, C = Ca = 3600 J/kg·K and ω = 0.0005 s−1, and ˙qm=700 W/m3. The boundary conditions for this electrical problem can be stated as: V (0,y) = 0 for right face V (x,L) = 0 for bottom boundary = 0 for upper insulated boundary For the left hand side boundary insulated sections = 0 if y ≤ L/3 or y ≥ 2L/3 For left hand side boundary current injecting section Amperes if L/3 ≤ y ≤ 2L/3 Use the solution for the electric problem obtained by the method of separation of variables to specify the external heat generation term of Pennes equation, and solve numerically the steady state thermal problem using the method of finite volumes. For the thermal problem the governing equation is Pennes bioheat equation for 2-D steady state cartesian coordinate problems where the term ˙ql can be taken from the solution to HW 5, by taking use the following boundary conditions for the thermal problem: T(0,y) = Ta + q˙m/(ρaωCa) for right face T(x,L) = Ta + q˙m/(ρaωCa) for bottom boundary = 0 for upper insulated boundary For the left hand side boundary insulated sections = 0 if y ≤ L/3 or y ≥ 2L/3 For left hand side boundary current injecting section T(0,y) = 5◦C if L/3 ≤ y ≤ 2L/3 Change the current density J leaving from the central part of the left hand side until you find a temperature of 100◦C at some point inside the tissue. Plot your results using matlab contour plots. For that case, determine the percent of region of tissue where the temperature is above 60◦C. Figure 1: Geometry of problem is in the attached file also I'll attach related documents
Project ID: 10127923

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4 freelancers are bidding on average $38 USD for this job
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Wonderful Project! We are pro in Matlab... As we are masters of mathematics and control engineering, we will give a successful result in time. Plz keep in touch with me! Thanks..
$40 USD in 1 day
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DEAR HIRING MANAGER I am an industrial engineer. I am very good at mechanical, electrical, control and automation, fluid mechanical,...I am expert at system modeling,data base creating,data quantitative analysis,statistics,and i have good command with MATLAB/SIMULINK programming,linear programming, simplex method, mathematics, EXCEL, SPSS,ANSYS I am very interested with the position that you have posted. Now i am free to colaborate with you. please see my portfolio Best regards
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Hi, although I am an article writer., I do mathematical analysis and give solutions to problems. I assure to deliver on time. Thanks. Umecka
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I am currently working in industry in solving PDEs . This is a steady state problem and is easy to solve. We may do a skype chat if you wish. Cheers Midhun
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Flag of UNITED STATES
Erie, United States
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