Chapter 4: Problem 128
How can the contamination of foods with microorganisms be prevented or minimized? How can the growth of microorganisms in foods be retarded? How can the microorganisms in foods be destroyed?
Chapter 4: Problem 128
How can the contamination of foods with microorganisms be prevented or minimized? How can the growth of microorganisms in foods be retarded? How can the microorganisms in foods be destroyed?
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Get started for freeThick slabs of stainless steel $(k=14.9 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\( and \)\left.\alpha=3.95 \times 10^{-6} \mathrm{~m}^{2} / \mathrm{s}\right)\( and copper \)(k=401 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\( and \)\left.\alpha=117 \times 10^{-6} \mathrm{~m}^{2} / \mathrm{s}\right)$ are placed under an array of laser diodes, which supply an energy pulse of \(5 \times 10^{7} \mathrm{~J} / \mathrm{m}^{2}\) instantaneously at \(t=0\) to both materials. The two slabs have a uniform initial temperature of \(20^{\circ} \mathrm{C}\). Determine the temperatures of both slabs at $5 \mathrm{~cm}\( from the surface and \)60 \mathrm{~s}$ after receiving an energy pulse from the laser diodes.
Carbon steel balls $\left(\rho=7833 \mathrm{~kg} / \mathrm{m}^{3}, k=54 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\right.\(, \)c_{p}=0.465 \mathrm{~kJ} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}\(, and \)\left.\alpha=1.474 \times 10^{-6} \mathrm{~m}^{2} / \mathrm{s}\right) 8 \mathrm{~mm}$ in diameter are annealed by heating them first to \(900^{\circ} \mathrm{C}\) in a furnace and then allowing them to cool slowly to \(100^{\circ} \mathrm{C}\) in ambient air at \(35^{\circ} \mathrm{C}\). If the average heat transfer coefficient is $75 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}$, determine how long the annealing process will take. If 2500 balls are to be annealed per hour, determine the total rate of heat transfer from the balls to the ambient air.
Spherical glass beads coming out of a kiln are allowed to cool in a room temperature of \(30^{\circ} \mathrm{C}\). A glass bead with a diameter of $10 \mathrm{~mm}\( and an initial temperature of \)400^{\circ} \mathrm{C}$ is allowed to cool for \(3 \mathrm{~min}\). If the convection heat transfer coefficient is \(28 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\), determine the temperature at the center of the glass bead using the analytical one-term approximation method. The glass bead has properties of $\rho=2800 \mathrm{~kg} / \mathrm{m}^{3}\(, \)c_{p}=750 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}$, and \(k=0.7 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\).
Chickens with an average mass of \(2.2 \mathrm{~kg}\) and average specific heat of \(3.54 \mathrm{~kJ} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}\) are to be cooled by chilled water that enters a continuous-flow-type immersion chiller at \(0.5^{\circ} \mathrm{C}\). Chickens are dropped into the chiller at a uniform temperature of \(15^{\circ} \mathrm{C}\) at a rate of 500 chickens per hour and are cooled to an average temperature of \(3^{\circ} \mathrm{C}\) before they are taken out. The chiller gains heat from the surroundings at a rate of \(210 \mathrm{~kJ} / \mathrm{min}\). Determine \((a)\) the rate of heat removal from the chicken, in \(\mathrm{kW}\), and ( \(b\) ) the mass flow rate of water, in \(\mathrm{kg} / \mathrm{s}\), if the temperature rise of water is not to exceed \(2^{\circ} \mathrm{C}\).
The Biot number can be thought of as the ratio of (a) the conduction thermal resistance to the convective thermal resistance (b) the convective thermal resistance to the conduction thermal resistance (c) the thermal energy storage capacity to the conduction thermal resistance (d) the thermal energy storage capacity to the convection thermal resistance (e) none of the above
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