Apply ADI methods to two dimensional heat equation and find T+1 at the internal grid points in the mesh shown in figure. Also, find the length a and b, initial condition are: x Tn = 1- along y = 0 3Ax y Tn = 1- along left side 3Ay от [a²T ǝ²T] Ξα + at ax2 y2 Where: T=0 everywhere else, and the boundary conditions remain fixed at these initial value. k=240 W/m.°C, p=2700 Kg/m³, Cp= 920 J/kg.k, R=1 cm. R R y 2 cm b a Ay. 2R/3 Ax 2 cm x

Use the Lax method to solve the inviscid Burgers' equation using a mesh with 51 points in the x direction. Solve this equation for a right propagating discontinu- ity with initial data u = 1 on the first 11 mesh points and u = 0 at all other points. Repeat your calculations for Courant numbers of 1.0, 0.6, and 0.3 and compare your numerical solutions with the analytical solution at the same time.

Let a fluid with defined with the next equation Where: f = f₁-f₂ + FG So we have And then, minimum force is dm (1) dt + Let G = x(r) (position function) → FG = PG-₂ dm (ap ap ax' dy OG OG OG opdv = fav ap pdv [de] + VpdV = (f + pVG)dV (gravity force) dv FG fm = p[dr] + Vp-pVG Prove the Bernoulli's equation with the given equations 1 ²+8= 12 + 1/2 PU²3 +1 (2)

This is a multiple-part question, I just need help with part C, Table 2.2 is provided and you can refer to above parts for equations and boundary equations.

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Question 2: Air at the temperature of T1 is being heated with the help of a cylindrical cooling fin shown in the figure below. A hot fluid at temperature To passes through the pipe with radius Rc. a) Derive the mathematical model that gives the variation of the temperature inside the fin at the dynamic conditions. b) Determine the initial and boundary conditions to solve the equation derived in (a). air To Re Assumptions: 1. Temperature is a function of only r direction 2. There is no heat loss from the surface of A 3. Convective heat transfer coefficient is constant

Question 2: Air at the temperature of T1 is being heated with the help of a cylindrical cooling fin shown in the figure below. A hot fluid at temperature To passes through the pipe with radius Rc. a) Derive the mathematical model that gives the variation of the temperature inside the fin at the dynamic conditions. b) Determine the initial and boundary conditions to solve the equation derived in (a). air T1 Re Assumptions: 1. Temperature is a function of onlyr direction 2. There is no heat loss from the surface of A 3. Convective heat transfer coefficient is constant

Write the position equation (vector loop equation) for the figure given below: prieenigna lesinarlbeM to Inomhaqed OS Ils notesme2 200M Ost conta A SON 20 L₂ 0₂ 0₂ +0, 4₁ B LA 3 emaineribem to ngized tegocHam L, M es 0₁ 04 ancountant Istene Lumixs M L )", % 0° and

plz solve all the question with explaination. I will give you upvotes

Topics Discussed: Static of Rigid Bodies, Force Vector, Addition of a System of Coplanar Forces, Cartesian Vector Please re-compute and re-solve the given, This is my answer. But I also want to see your expert answer if we land in the same solutions and answers. Please show your complete solution. Thank you.