Using the numerical method calculate the steady-state nodal temper- 0 W/m. °C.
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- A solid hemisphere of radius 5 cm to be cooled in air (at 20 o C, h=10 W/m 2 .K) from 200 oC to center of 150 oC, assume following sphere properties ρ=8500kg/m3, k=20W/m.K , C=400 J/kg.Ka. List assumptions and justify selected method of solution b. How long does it take to cool the hemisphere? c. What is the temperature of the surface at end of cooling?A 30.14 g stainless steel ball bearing at 117.82°C is placed in a constant-pressure calorimeter containing 120 mL of water at 18.44°C. If the specific heat of the ball bearing is 0.474 J/g-°C, calculate the final temperature of the water. Assume the calorimeter to have negligible heat capacity. Specific heat of water is 4.184 J/g-°C .- A 40 x 40 cm copper slab # mm thick at a uniform temperature of 250 °C suddenly has its surface temperature lowered 30 °C. Find the time at which the slab temperature becomes 90°C ; p=9000 ke/m’, c=0.38 KJ/kgK, k=370 W/mK and h=00 W/m’K. 2
- The composite wall which is composed of 10 cm brick (k=0.40 W/m2-C), 2 cm cellotex (k=0.03 W/m2- OC), and 6 cm (k=0.30 W/m2-OC),has an outer (brick) temperature T=23 OC and an inner (plaster)temperature T=90 OC. Find the temperature between the cellotex andplaster in OC.Awatermelon initially at 35°C is to be caoled by dropping itinto a lake at 15°C. After 4 h and 40 min of cooling the center temperature of watermelon is measured to be 20°C. Treating the watermelon 25 a 20-c-diameter sphere and using the properties k = 0.618 WimRead the question carefully and give me right solution according to the question. Note: Don't copy other expert solution. I have other website solution. A metallic ball of radius ro = 5 mm, is initially in equilibrium at 400 C in a furnace. It is suddenly dropped to water at 20 C hw 10814 W/m2 K, . The properties of the sphere are density= 3000 kg/m3, k = 20 W/m_ K, c = 1000 J/kg K, and α= 6.66E-6 m2/s. Calculate the time required for the center of the sphere to cool to 50 C.
- Most automobiles have a coolant reservoir to catch radiator fluid that may overflow when the engine is hot. Such a radiator, made of copper, is filled to its 12-L capacity when at 10.0°C. -What volume of radiator fluid, in liters, will overflow when the radiator and fluid reach their 99.5°C operating temperature, given that the fluid’s thermal coefficient of volume expansion is 400.0 × 10-6 / °C? The coefficient of volume expansion for copper is 5.1 × 10-5 /°C.To ensure a tight fit, the aluminum rivet used in airplane construction are made slightly larger than the rivet holes and cooled by dry ice (solid CO2) before being driven. If the diameter of a hole is 0.500 cm, what should be the diameter of a rive at 20 degree Celsius if its diameter is equal that of a hole when the rivet is cooled to -78 degree Celsius, the temperature of dry ice? Assume the coefficient of expansion to remain constant. (Given and solutions)A 2.54-cm. steel bolt is used to clamp two aluminum (2014-T6, HT aged) plates together as shown by Fig. Problem 5. The aluminum plates have a total thickness of 08 cm. and an equivalent diameter of 5.08 cm. The bolt is heated to a temperature of 93.33 oC, the inserted in the aluminum plates, which are at 26.7 oC, and tightened so as to have a tensile tightening stress of 207 MPa in the unthreaded shank while steel at 93.33 oC. What is the tensile stress in the bolt after assembly has cooled to 26.7 oC? The deformations are elastic.
- Isabelle pour 158cm3 of glycerin, at a temperature of -12 oC, into a graduated cylinder initially at 19 oC, filling it to the very top. The cylinder is made of glass with a specific heat of 840 J/kg-K and a coefficient of volume expansion of 1.2 x10−5K-1 ; its mass is 0.110kg. The mass of the glycerin is 0.0873 kg.(a) What will be the final temperature of the glycerin, once thermal equilibrium is reached?(b) How much glycerin will overflow the cylinder before thermal equilibrium is reached?J 6 A semi-infinite solid, with a boundary condition of convection on the surface (Tfluid = 100°, h = 220 W/m2-°C) has at t=0s, a uniform temperature of Ti = 0°C, draw the isotherm of 60°C, at time t = 2h. Consider the solid to be cast iron.A metallic ball of radius ro = 5 mm, is initially in equilibrium at 400 C in a furnace. It is suddenly dropped to water at 20 C ( hw = 11003 W/m^2). The properties of the sphere are density= 3000 kg/m3, k = 20 W/m_ K, c = 1000 J/kg K, and α= 6.66E-6 m2/s. Calculate the time required for the center of the sphere to cool to 50 C.