Delive the equation from (Node at a Plane Surface with convection (2 Tm-1/n + Tmin+1 + Tmin-1) + 2 hox Top-2 (hox + 2) Tmin=0 k
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- Pls answer 4-10show complete step by step solutionadv ctate An infinitely long cylindrical container has a cross section area of radius R, and is placed horizontally with gravity being in the -y direction, as shown in the figure. The cylinder is 50% filled with water (the shaded part), with density p. The other 50% of the volume in the cylinder is filled with air with constant pressure of p = Po. The length of the cylindrical container in the axial direction is W. R Use the surface integral method to compute the hydrostatic force acted on the 4th quadrant of the cylinder wall, as shown by the thickened line in the figure.A sab 15 cm Later, one of the other surface temp is at 20°C initially, 100°C. and the increased to 50°C. profile in the slob ofter 3 min, using finste differences method. calculate the temp s += 15 min Dx = 5 cm 1.10 of m²/s The equation describing the system: d. 227 before 1 2 3 after 20°C 20°C 20°C 20°C 20°C 20°C 50°C +=0 100°C 20°C ? 50°C +=1₁5 105C ? 50°C + = 3 100°L ? of 2 thickness is surfaces is 2 maint oined increased to 0 Be 2x
- Sipho’s mother is making a fire in the stove inside a shack using coal. A fan is used to extract the flue gasfrom the fire via a chimney made of zinc material. The wall thickness of Chimney is L=4mm and the walltemperature of the chimney on the flue gas side is T_si=60˚C. Sipho, playing outside next to the chimneyexperiences an ambient temperature of 20˚C. The surrounding temperature is T_sur=35˚C and the emissivityis ε=0.95. Assume the convection coefficient is 20W/m2K and the chimney is grey material.Under these conditions determine the outer surface (air side) temperature T_so=? of the chimney.H.W: 10-02-2021: The exterior wall of a building consists of 100 mm thick face brick (k = 0.9 Wm¯'K'), 40 mm thick polystyrene insulating board (k 0.036 Wm'K¯), 125 mm thick concrete block (k = 1.8 Wm¯'K') and 15 mm thick interior gypsum board (k = 0.18 Wm K). The inside and outside convective heat transfer coefficients are 6.5 Wm K and 22.5 Wm K respectively. The outside air temperature is -5°C and the inside air temperature is 20°C. The wall is 3 m high and 15 m long. Calculate (i) the rate of heat loss through the wall,dT = k(T- Tm), where T(t) is the temperature of the object at The mathematical model for Newton's law of cooling is ot time t and Tm is the constant temperature of the surrounding medium. What is lim T(t) ? t+ 00
- 36 -S 42 2. Metal castings can sometimes develop a gap between the casting and mold as the molten metal hardens. The result can be a substantially altered cooling process. Set up a simple heat-transfer model that would let you look at the effect of the gap on the cooling process. Assume the casting and mold are square in shape, with an air gap of thickness das shown in the figure. The mold sits in some ambient room temperature. State clearly all assumptions and develop a corresponding model of the heat transfer problem. Assuming that the casting is aluminum, the mold is diatomaceous earth and the gap is filled with air, see if you can arrive at and summarize some insight into the effect of the gap and its size on the heat transfer process.ЕР 7 Fan Selection for Air Cooling of a Computer A fan is to be selected to cool a computer case whose dimensions are 12 cm x 40 cm x 40 cm (see the figure). Half of the volume in the case is expected to be filled with components and the other half to be air space. A 5-cm-diameter hole is available at the back of the case for the installation of the fan that is to replace the air in the void spaces of the case once every second. Small low-power fan-motor combined units are available in the market and their efficiency is estimated to be 30 percent. Determine (a) the wattage of the fan-motor unit to be purchased and (b) the pressure difference across the fan. Take the air density to be 1.20 kg/m. Streamline W elect (2) Fan(a)A block of coeight W shdes clown an inclined noite hibričatedy a fil Ihe film contact area f A and its thickpers is h. Asruming a linear velouty datribution in the film, derus an expression for the terminal (zero accefaration) veloGt, fhe W slides down an mof oit, figure below. inclined plane alA block then 4位66ck. Dfind the terminal velocty of He blocek in block mass Is 6kg, A = 35cn, @ =15° Gnd the film is Imm tnk SAE al at 20°C. fry belew, in #e Liqaid of thickiness,h Block contact area,A
- The compartment below is used as a freezer of refrigerator compartment. Inner wall is at -10 C and outer wall is at 20 C. Insulator with a thermal conductivity of 0.040 W/(mK) is used to prevent the heat losses from the compartment. The shape is in square form with a side of 1.3 m and unit width into the page. Determine the amount of the heat load if the thickness of the insulator is 2 cm? * a)700 W b)312 W c)78 W d)none e)500 WFor which values of n is the function y Y a solutioOn of the differential equation xy- 32yp - 6y – 0The compartment below is used as a freezer of refrigerator compartment. Inner wall is at -15 C and outer wall is at 25 C. Insulator with a thermal conductivity of 0.035 W/(mK) is used to prevent the heat losses from the compartment. The shape is in square form with a side of 1.2 m and unit width into the page. Determine the thickness of the insulator if the compartment heat load is 700 W? * inner wall outer wall insulating material 5 cm O 9.6 mm 4.2 cm none