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Homework # 1 Problem 10. 9.3 Heating in a Muscle Cell 10.93 Heating in a Muscle Cell A long, cylindrical skeletal muscle cell with radius R produces heat at a constant ACCUMULATION rate per unit volume, 4mer IN = (a) The cell surface is insulated so no heat escapes from the cell, Assuming radial variations in the cell to be negligible, how long will it take for the temperature inside the cell to increase by 1"C? (b) When the cell dies (4met = 0). how long will it take to cool from 49"C to 48"C? OUT = Assume that Newton's law of cooling governs heat transfer at the outer surface of the cell, with surrounding temperature To = 37"C and h # 200 W/m C. Is a lumped analysis justified in this case? Explain. SOURCE Accumulation = Input -output + source - sink