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For a boiling process such as shown in Figure 1.5c, the ambient temperature
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Chapter 1 Solutions
Introduction to Heat Transfer
- Pls answer q3(as I am still not sure whether or not I did q2 correctly)arrow_forwardWhat’s the correct answer for this please ?arrow_forward2. The initial temperature of the hot coffee cup is T(0) = 175°F. The cup is placed in a room temperature of T... = 70°F. The temperature T(t) of the coffee at time t can be approximated by Newton's law of cooling. ·+hT(t)=hT∞, where h is the convective heat transfer coefficient. dT dt (a) Find the transient solution, Ttran(t). (b) Find the steady-state solution. Tss(t). (c) Determine the total solution T(t). (d) Would increasing the value of h increase or decrease the time when the temperature of coffee reaches the room temp? (e) Would a lower or higher value of h be best for a cup of coffee?arrow_forward
- For a water flow over a steel surface, the temperature of water at a specific location was found to change with the vertical distance from the surface (y) up to a distance of 0.015 m as T(y) = 60 + 20y + tan(y), where temperature is in °C and y is in cm. The surface temperature and ambient temperature was measured as 60°C and 105°C, respectively. The thermal conductivity of steel and water are, respectively, 48 W/m-K and 0.6 W/m-K. What is the local convection coefficient at this location?arrow_forwardWhat are the Poisson equations? How would the respective equations look like at isothermal, iso-choric, isobaric conditions?arrow_forwardA metallic plate, whose external faces are kept at temperatures T1 and T2 by a cooling fluid, has a thin-thickness resistance heater with thermal flux equal to o, as shown in the following figure. T, т, 9cond gcond - L + L The differential energy balance of this plate, in Cartesian coordinates, can be expressed by ôT pcp dy (" dy where r is the material's specific mass, cp is the material's specific heat, T is the temperature, t is the time, and x, y, z are the variables on the Cartesian axes. Consider the heat flux of this one-dimensional plate in the x direction, the constant thermal conductivity of the material, and steady state operation. Check the equation that describes this phenomenon and explain why your answer a (aT ôz dz pc. 出业姐,业逃】- ()- dzarrow_forward
- During daytime, the outside air temperature is measured at Ta = 35 °C. A house with an inside temperature of Tin = 20 °C is separated from the outside by a brick wall as shown in Figure 1. i Briefly discuss what will happen in terms of heat transfer process and the mode of heat transfer involved. ii. Identify the parameters that affect the rate of heat transfer in this case T. = T = 35°C 20°C Brick wallarrow_forwardPlease show complete solutions and detailed drawings. Show conversions, units, and box in the final answersarrow_forwardWe have a system made up of a glass container (glass) whose bottom and top have been insulated. A mass of liquid (m) is introduced inside it at a temperature T. As this mass of water transmits heat, its temperature TI decreases, without changing the ambient temperature TA. Measurements of temperature are made with water and with saline water at different times. How would you calculate the convective heat transfer coefficient (h)?arrow_forward
- = Consider a large plane wall of thickness L=0.3 m, thermal conductivity k = 2.5 W/m.K, and surface area A = 12 m². The left side of the wall at x=0 is subjected to a net heat flux of ɖo = 700 W/m² while the temperature at that surface is measured to be T₁ = 80°C. Assuming constant thermal conductivity and no heat generation in the wall, (a) express the differential equation and the boundary equations for steady one- dimensional heat conduction through the wall, (b) obtain a relation for the variation of the temperature in the wall by solving the differential equation, and (c) evaluate the temperature of the right surface of the wall at x=L. Ti до L Xarrow_forwardAn electric current is passed through a wire 1 mm in diameter and 10 cm long. The wire is submerged in liquid water at atmospheric pressure, and the current is increased until the water boils. For this situation h=5000 W/m? - •C, and the water temperature will be 100-C. How much electric power must be supplied to the wire to maintain the wire surface at 114•C?arrow_forwardAir is contained in a piston cylinder device, it expands first isothermally (1=>2) then isobaric expansion takes place (2=>3). The processes on the T-v diagram will be:arrow_forward
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