In a meat processing plant, 2-cm-thick steaks (k = 0.45 W/m C and a = 0.91...

 

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In a meat processing plant, 2-cm-thick steaks (k = 0.45 W/m °C and a = 0.91 x 10-7 m/s) that are initially at 25°C are to be cooled by passing them through a refrigeration room at -11°C. The heat transfer coefficient on both sides of the steaks is 9 W/m . °C. If both surfaces of the steaks are to be cooled to 2°C, determine how long the steaks should be kept in the refrigeration room. Coefficients used in the one term approximate solution of transient one dimensional heat conduction in plane wails, cylinders, and spheres (Bi- hUk for a plane wail of thickness 2L and Bi- hr for a cylinder or sphere of radiun The zeroth and fiest-order Bessel tunctions of the fint kind 0.0 0.1 0.2 0.3 0.4 L0000 0.9975 0.9900 0.9776 0.9604 0.0000 0.0499 0.0995 0.1483 0.1960 Plane Wal Cylinder A Sphene Bi 0.01 0.02 0.04 0.06 0.08 0.1 0.0998 0.1410 0.1987 0.2425 0.2791 1.0017 1.0033 1.0066 1.0098 1.0130 1.0161 1.0311 1.0450 1.0580 1.0701 1.0814 1.0918 1.0025 1.0050 1.0099 1.0148 10197 1.0246 1.0483 0.1730 0.2445 0.3450 0.4217 0.4860 0.5423 0.7593 0.9208 1.0528 1.1656 1.2644 1.3525 1.4320 1.5044 1.5708 1.0030 1.0060 1.0120 1.0179 1.0239 1.0298 1.0592 0.1412 0.1995 0.2814 0.3438 0.3960 0.4417 0.6170 0.7465 0.8516 0.9408 10184 1.0873 0.5 0.6 0.7 0.8 0.9 0.9385 0.9120 0.8812 0.2423 0.2867 0.3290 0.3111 0.4328 0.5218 0.5932 0.6533 0.7051 0.7506 0.8463 0.8075 0.3688 0.4059 0.3 0.4 0.5 0.6 1.0712 1.0931 1.1143 1.1345 1.1539 1.1724 1.0880 11164 1.1441 1.1713 1.1978 1.2236 1.2488 1.2732 1.0 11 1.2 1.3 1.4 0.7652 0.7196 0.6711 0.6201 0.5669 0.4400 0.4709 0.4983 0.5220 0.5419 0.7 0.7910 0.8 0.9 1.0 91011 1.1490 1.2048 1.1107 1.1191 1.1902 1.2071 0.8274 0.8603 1.2558 1.5 0.5118 0.5579 00000 0000O In a meat processing plant, 2-cm-thick steaks (k = 0.45 W/m °C and a = 0.91 x 10-7 m/s) that are initially at 25°C are to be cooled by passing them through a refrigeration room at -11°C. The heat transfer coefficient on both sides of the steaks is 9 W/m . °C. If both surfaces of the steaks are to be cooled to 2°C, determine how long the steaks should be kept in the refrigeration room. Coefficients used in the one term approximate solution of transient one dimensional heat conduction in plane wails, cylinders, and spheres (Bi- hUk for a plane wail of thickness 2L and Bi- hr for a cylinder or sphere of radiun The zeroth and fiest-order Bessel tunctions of the fint kind 0.0 0.1 0.2 0.3 0.4 L0000 0.9975 0.9900 0.9776 0.9604 0.0000 0.0499 0.0995 0.1483 0.1960 Plane Wal Cylinder A Sphene Bi 0.01 0.02 0.04 0.06 0.08 0.1 0.0998 0.1410 0.1987 0.2425 0.2791 1.0017 1.0033 1.0066 1.0098 1.0130 1.0161 1.0311 1.0450 1.0580 1.0701 1.0814 1.0918 1.0025 1.0050 1.0099 1.0148 10197 1.0246 1.0483 0.1730 0.2445 0.3450 0.4217 0.4860 0.5423 0.7593 0.9208 1.0528 1.1656 1.2644 1.3525 1.4320 1.5044 1.5708 1.0030 1.0060 1.0120 1.0179 1.0239 1.0298 1.0592 0.1412 0.1995 0.2814 0.3438 0.3960 0.4417 0.6170 0.7465 0.8516 0.9408 10184 1.0873 0.5 0.6 0.7 0.8 0.9 0.9385 0.9120 0.8812 0.2423 0.2867 0.3290 0.3111 0.4328 0.5218 0.5932 0.6533 0.7051 0.7506 0.8463 0.8075 0.3688 0.4059 0.3 0.4 0.5 0.6 1.0712 1.0931 1.1143 1.1345 1.1539 1.1724 1.0880 11164 1.1441 1.1713 1.1978 1.2236 1.2488 1.2732 1.0 11 1.2 1.3 1.4 0.7652 0.7196 0.6711 0.6201 0.5669 0.4400 0.4709 0.4983 0.5220 0.5419 0.7 0.7910 0.8 0.9 1.0 91011 1.1490 1.2048 1.1107 1.1191 1.1902 1.2071 0.8274 0.8603 1.2558 1.5 0.5118 0.5579 00000 0000O

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First calculate the Biot number Bi h L 3D where the conuec tiue heat trons fer c... View the full answer