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3. Consider the square plate shown below. Calculate the steady-state temperatures for nodes 1 to 6....
answer a, b, and c 1. Steady-state temperatures at selected nodal points of the symmetrical section...
answer a, b, and c
1. Steady-state temperatures at selected nodal points of the symmetrical section of a flow channel are known to be, T, = 95.47°C,T, = 117.3°C, T, = 79.79°C,T, = 77.29°C,T, = 87.28°C.T. = 77.65°C.The wall experiences uniform volumetric heat generation of q'=106 W/m and has a thermal conductivity of k = 10"-. The inner and outer surfaces of the channel experience convection with fluid m, K temperatures of T = 50°C, T = 25°C and convection...
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...
Problem 2(30 points) Consider the steady-state temperature distribution in a square plate with dimensions 2 m...
Problem 2(30 points) Consider the steady-state temperature distribution in a square plate with dimensions 2 m x 2 m. There is a heat generation of ġ(x.y)=6x [W/my], and the thermal conductivity of k=1[W/(m-°C)]. The temperature on the top boundary is given by a piecewise function, f(x), which is defined below. x(4- x²)+10 0<x<1 | x(4- x?) + 20, 1<x<2 The bottom boundary is insulated. The temperatures on left-handed and right-handed boundary are maintained at constants 10[°C] and 20 [°C] as...
Problem#01: prescribed surface temperatures. Consider two-dimensional, steady-state condition in a square cross section with a) Determine...
Problem#01: prescribed surface temperatures. Consider two-dimensional, steady-state condition in a square cross section with a) Determine the temperature at nodes 1, 2, 3, and 4 b) Estimate the midpoint temperaturebwen 1,2,3 d dyz1D cm-po.lm100 a)do it in Four steps teach Tem. 50"C 123, 1
1. Consider an opaque, horizontal square plate (Im by 1m) with an electrical heater on its backside. The front side is exposed to ambient quiescent air that is at 20° C, solar irradiation (from...
1. Consider an opaque, horizontal square plate (Im by 1m) with an electrical heater on its backside. The front side is exposed to ambient quiescent air that is at 20° C, solar irradiation (from sun at 5800° K) of 600 W/m2, and an effective sky temperature of -40° C. The plate surface temperature is kept at Ts 60 C (at steady state condition). Calculate natural convection heat transfer coefficient from the plate. (10 points) What is the electrical power (W/m2)...
1). Consider 1D heat conduction in a solid plate as shown. The temperatures at two boundaries...
1). Consider 1D heat conduction in a solid plate as shown. The temperatures at two boundaries are 20 K and 10 K, respectively. lm- 2 1 1 3 4 5 T20 K T = 10 K 0.25m 0.25m 0.25% 0.25 (a) Write down the governing equation for the temperature distribution inside the plate. Assume no heat source inside the entire plate. (6) The domain has been discretized using 5 equally spaced grids. Discretize the governing equation in (a) using finite...
Two-Dimensional Steady and Transient Conduction - Cooling a very large scale microelectronic chip, A simplified representation...
Two-Dimensional Steady and Transient Conduction - Cooling a very
large scale microelectronic chip,
A simplified
representation for cooling in very large-scale integration (VLSI)
of microelectronics is shown in the sketch below. A silicon chip is
mounted in a dielectric substrate, and one surface of the system is
convectively cooled, while the reminding surfaces are well
insulated from the surrounding. The problem is rendered two
dimensional by assuming the system to be very large in the
direction perpendicular to the paper....
13.15 The base plate of an ironi (provided by resistance over a base plate cros plate...
13.15 The base plate of an ironi (provided by resistance over a base plate cros plate of an iron is 0.6 cm thick. The plate is subjected to 100 W of power ded by resistance heaters inside the iron, as shown in Figure P13-15). base plate cross-sectional area of 250 cm, resulting in a uniform flux rated on the inside surface. The thermal conductivity of the metal base generated on th is k = 20 W/m- C. The outside ambient...
Consider the base plate of a 1200-W household iron that has a thickness of L =...
Consider the base plate of a 1200-W household iron that has a thickness of L = 0.5-cm, base area of A= 300-cm', and thermal conductivity of k = 15-W/m-C". The inner surface of the base plate is subjected to a uniform heat flux generated by the resistance heaters inside, and the outer surface losses heat to the surroundings at T = 20°C by convection. Taking the convection heat transfer coefficient to be h = 80-W/m--°C obtain an expression for the...
A simplified representation for cooling in very large- scale integration (VLSI) of microelectronics is shown in...
A simplified representation for cooling in very large- scale integration (VLSI) of microelectronics is shown in the sketch below. A silicon chip is mounted in a dielectric substrate, and one surface of the system is convectively cooled, while the reminding surfaces are well insulated from the surrounding. The problem is rendered two dimensional by assuming the system to be very large in the direction perpendicular to the paper. Under steady state (1) and transient (2) operation electronic power dissipation in...
answer a, b, and c
1. Steady-state temperatures at selected nodal points of the symmetrical section of a flow channel are known to be, T, = 95.47°C,T, = 117.3°C, T, = 79.79°C,T, = 77.29°C,T, = 87.28°C.T. = 77.65°C.The wall experiences uniform volumetric heat generation of q'=106 W/m and has a thermal conductivity of k = 10"-. The inner and outer surfaces of the channel experience convection with fluid m, K temperatures of T = 50°C, T = 25°C and convection...
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...
Problem 2(30 points) Consider the steady-state temperature distribution in a square plate with dimensions 2 m x 2 m. There is a heat generation of ġ(x.y)=6x [W/my], and the thermal conductivity of k=1[W/(m-°C)]. The temperature on the top boundary is given by a piecewise function, f(x), which is defined below. x(4- x²)+10 0<x<1 | x(4- x?) + 20, 1<x<2 The bottom boundary is insulated. The temperatures on left-handed and right-handed boundary are maintained at constants 10[°C] and 20 [°C] as...
Problem#01: prescribed surface temperatures. Consider two-dimensional, steady-state condition in a square cross section with a) Determine the temperature at nodes 1, 2, 3, and 4 b) Estimate the midpoint temperaturebwen 1,2,3 d dyz1D cm-po.lm100 a)do it in Four steps teach Tem. 50"C 123, 1
1. Consider an opaque, horizontal square plate (Im by 1m) with an electrical heater on its backside. The front side is exposed to ambient quiescent air that is at 20° C, solar irradiation (from sun at 5800° K) of 600 W/m2, and an effective sky temperature of -40° C. The plate surface temperature is kept at Ts 60 C (at steady state condition). Calculate natural convection heat transfer coefficient from the plate. (10 points) What is the electrical power (W/m2)...
1). Consider 1D heat conduction in a solid plate as shown. The temperatures at two boundaries are 20 K and 10 K, respectively. lm- 2 1 1 3 4 5 T20 K T = 10 K 0.25m 0.25m 0.25% 0.25 (a) Write down the governing equation for the temperature distribution inside the plate. Assume no heat source inside the entire plate. (6) The domain has been discretized using 5 equally spaced grids. Discretize the governing equation in (a) using finite...
Two-Dimensional Steady and Transient Conduction - Cooling a very
large scale microelectronic chip,
A simplified
representation for cooling in very large-scale integration (VLSI)
of microelectronics is shown in the sketch below. A silicon chip is
mounted in a dielectric substrate, and one surface of the system is
convectively cooled, while the reminding surfaces are well
insulated from the surrounding. The problem is rendered two
dimensional by assuming the system to be very large in the
direction perpendicular to the paper....
13.15 The base plate of an ironi (provided by resistance over a base plate cros plate of an iron is 0.6 cm thick. The plate is subjected to 100 W of power ded by resistance heaters inside the iron, as shown in Figure P13-15). base plate cross-sectional area of 250 cm, resulting in a uniform flux rated on the inside surface. The thermal conductivity of the metal base generated on th is k = 20 W/m- C. The outside ambient...
Consider the base plate of a 1200-W household iron that has a thickness of L = 0.5-cm, base area of A= 300-cm', and thermal conductivity of k = 15-W/m-C". The inner surface of the base plate is subjected to a uniform heat flux generated by the resistance heaters inside, and the outer surface losses heat to the surroundings at T = 20°C by convection. Taking the convection heat transfer coefficient to be h = 80-W/m--°C obtain an expression for the...
A simplified representation for cooling in very large- scale integration (VLSI) of microelectronics is shown in the sketch below. A silicon chip is mounted in a dielectric substrate, and one surface of the system is convectively cooled, while the reminding surfaces are well insulated from the surrounding. The problem is rendered two dimensional by assuming the system to be very large in the direction perpendicular to the paper. Under steady state (1) and transient (2) operation electronic power dissipation in...
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