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A two-dimensional rectangular plate is subjected to prescribed boundary conditions. Using the results of the exact...
Please answer all the questions ( Problem 1 and 2 ) clearly ! Problem 1 y...
Please answer all the questions ( Problem 1 and 2 ) clearly
!
Problem 1 y (m) T1-50C T1 50°C x (m) 0 2 4.3 Consider the two-dimensional rectangular plate of Problem 4.2 having a thermal conductivity of 50 W/m K. Beginning with the exact solution for the temperature distribution, derive an expression for the heat transfer rate per unit thickness from the plate along the lower surface (0sxs2. y-0). Evaluate the heat rate considering the first five nonzero terms...
Consider two-dimensional steady-state heat conduction in a rectangular region of cross-section 2L by 3L subject to...
Consider two-dimensional steady-state heat conduction in a
rectangular region of cross-section 2L by 3L subject to boundary
conditions shown below. By using a mesh size deltax = deltay = L,
write the finite difference equations for this problem, and
calculate the node temperatures T1, T2, T3 and T4.
2 4 3 yL dee itc ft u esu
alem1s aonsalpn A rectangular plate is subjected to a plane stress state with principal stresses: σ,-67...
alem1s aonsalpn A rectangular plate is subjected to a plane stress state with principal stresses: σ,-67 MPa and σ,--23 MPa. The first principal stress acts in the x-direction and the second principal stress acts in the y-direction. The in-plane dimensions of the plate are given below. The out-of-plane dimension is 20 mm. The plate is made of material with E 200 GPa and v 0.30. Answer the following questions. a) What is the maximum in-plane shear strain Vmax in the...
2. A rectangular plate with sides 6 m and 4 m of thickness l 12 mm (Fig. 1) is subjected to the s...
2. A rectangular plate with sides 6 m and 4 m of thickness l 12 mm (Fig. 1) is subjected to the stresses σο Ơy and Fry. An Airy stress function is proposed to be φ = 12x3y. (a) Is φ a possible valid Airy stress function? Prove your answer by a calculation. (b) If φ is valid, determine the values of stresses (Ox, σ, and τ, at point (xy,z) which satisfy the stress function. (c) Draw a sketch showing...
formulate complete PDE problems (specify the equation, space domain, time interval, boundary, and initial conditions) for...
formulate complete PDE problems (specify the equation, space domain, time interval, boundary, and initial conditions) for the following model situations: a) Conduction heat transfer occurs in a thin rod of length L with insulated side walls. Temperature is initially constant T(0) = T0. We are asked to find the temperature distribution in the time period 0 < t < t1, during which the left end of the rod is kept at the temperature T0, and the right end is subject...
Consider two-dimensional, steady-state conduction in a square cross section with prescribed surfa...
need help with c and d
Consider two-dimensional, steady-state conduction in a square cross section with prescribed surface temperatures shown in the figure. 2) 100°C a) Determine the temperatures at nodes 1, 2, 3, and 4 Estimate the midpoint temperature. Reducing the mesh size by a factor of 2, determine the corresponding nodal temperatures. Compare your results with those from the coarser grid. b) 50°C 200°c c) If the body generates heat at a rate of 20,000 W/m determine the...
Solve the problem using the Finite-Difference Method. use these conditions: L=2m, h1 = 20 and h2 ...
solve the problem using the Finite-Difference Method. use these
conditions: L=2m, h1 = 20 and h2 = 10
A flat plate (k-1 W/m-K, p 2 kg/m3, c 0.7 kJ/kg-K) separates two fluids with different temperatures and convection coefficients. Heat conduction in the plate can be considered one-dimensional. The initial temperature of the plate is uniform and equal to 30 °C. a) Select the problem parameters using the table below. b) Cover the domain with a grid and write the finite...
11) An isothermal flat plate is subjected to uniform flow as shown below. Using the properties...
11) An isothermal flat plate is subjected to uniform flow as shown below. Using the properties and the illustration, determine the following: a) What is the heat flux at x1 (8 Points) b) What is the heat flux at x2 (8 Points) c) A temperature profile of T(x,y) = (5x2 + 3x + 8)*y is proposed for this plate. Is this a valid temperature profile for the illustrated case with constant thermophysical properties (not changing with respect to varying temperature)?...
Question 1: Three edges of a rectangular plate (a 5 m, b 4 m) are kept at a temperature of O C an...
Anyone able to help with this 3-D plotting on Matlab
Question 1: Three edges of a rectangular plate (a 5 m, b 4 m) are kept at a temperature of O C and one side is kept at a temperature T 80 C, as shown in the figure, on bottom-left. Determine and plot the following temperature distribution Tx,y) in the plate sin ((2n-1)쯤) sinh ((2n-1) 同 (2n-1)sinh((2n-1) TEY 471 7(x, y) = Heat conduction through a square plate a) Create...
Two large parallel plates with surface conditions approximating those of a blackbody are maintained at 800°C...
Two large parallel plates with surface conditions approximating those of a blackbody are maintained at 800°C and 100°C, respectively. Determine the rate of heal transfer by radiation between the plates in Wim and the radiative heat transfer coefficient in W/m K ) 12 Write down the one-dimensional sent heal conduction equation for a plane wall with constant thermal conductivity and heat generation in its simplest form, and indicate what each variable represents 13 Write down the one-dimensional transient heat conduction...
Please answer all the questions ( Problem 1 and 2 ) clearly
!
Problem 1 y (m) T1-50C T1 50°C x (m) 0 2 4.3 Consider the two-dimensional rectangular plate of Problem 4.2 having a thermal conductivity of 50 W/m K. Beginning with the exact solution for the temperature distribution, derive an expression for the heat transfer rate per unit thickness from the plate along the lower surface (0sxs2. y-0). Evaluate the heat rate considering the first five nonzero terms...
Consider two-dimensional steady-state heat conduction in a
rectangular region of cross-section 2L by 3L subject to boundary
conditions shown below. By using a mesh size deltax = deltay = L,
write the finite difference equations for this problem, and
calculate the node temperatures T1, T2, T3 and T4.
2 4 3 yL dee itc ft u esu
alem1s aonsalpn A rectangular plate is subjected to a plane stress state with principal stresses: σ,-67 MPa and σ,--23 MPa. The first principal stress acts in the x-direction and the second principal stress acts in the y-direction. The in-plane dimensions of the plate are given below. The out-of-plane dimension is 20 mm. The plate is made of material with E 200 GPa and v 0.30. Answer the following questions. a) What is the maximum in-plane shear strain Vmax in the...
2. A rectangular plate with sides 6 m and 4 m of thickness l 12 mm (Fig. 1) is subjected to the stresses σο Ơy and Fry. An Airy stress function is proposed to be φ = 12x3y. (a) Is φ a possible valid Airy stress function? Prove your answer by a calculation. (b) If φ is valid, determine the values of stresses (Ox, σ, and τ, at point (xy,z) which satisfy the stress function. (c) Draw a sketch showing...
need help with c and d
Consider two-dimensional, steady-state conduction in a square cross section with prescribed surface temperatures shown in the figure. 2) 100°C a) Determine the temperatures at nodes 1, 2, 3, and 4 Estimate the midpoint temperature. Reducing the mesh size by a factor of 2, determine the corresponding nodal temperatures. Compare your results with those from the coarser grid. b) 50°C 200°c c) If the body generates heat at a rate of 20,000 W/m determine the...
solve the problem using the Finite-Difference Method. use these
conditions: L=2m, h1 = 20 and h2 = 10
A flat plate (k-1 W/m-K, p 2 kg/m3, c 0.7 kJ/kg-K) separates two fluids with different temperatures and convection coefficients. Heat conduction in the plate can be considered one-dimensional. The initial temperature of the plate is uniform and equal to 30 °C. a) Select the problem parameters using the table below. b) Cover the domain with a grid and write the finite...
11) An isothermal flat plate is subjected to uniform flow as shown below. Using the properties and the illustration, determine the following: a) What is the heat flux at x1 (8 Points) b) What is the heat flux at x2 (8 Points) c) A temperature profile of T(x,y) = (5x2 + 3x + 8)*y is proposed for this plate. Is this a valid temperature profile for the illustrated case with constant thermophysical properties (not changing with respect to varying temperature)?...
Anyone able to help with this 3-D plotting on Matlab
Question 1: Three edges of a rectangular plate (a 5 m, b 4 m) are kept at a temperature of O C and one side is kept at a temperature T 80 C, as shown in the figure, on bottom-left. Determine and plot the following temperature distribution Tx,y) in the plate sin ((2n-1)쯤) sinh ((2n-1) 同 (2n-1)sinh((2n-1) TEY 471 7(x, y) = Heat conduction through a square plate a) Create...
Two large parallel plates with surface conditions approximating those of a blackbody are maintained at 800°C and 100°C, respectively. Determine the rate of heal transfer by radiation between the plates in Wim and the radiative heat transfer coefficient in W/m K ) 12 Write down the one-dimensional sent heal conduction equation for a plane wall with constant thermal conductivity and heat generation in its simplest form, and indicate what each variable represents 13 Write down the one-dimensional transient heat conduction...
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