Explanation Given information: The length of the hot dog is 12.5 cm , the diameter of the hot dog is 2.2 cm , the ambient temperature of the hot dog is 20 ° C , the temperature of the boiling water is 94 ° C , the time till the hot dog is placed in the boiling water is 2 min , the centre temperature of the hot dog is 59 ° C , the skin temperature of the hot dog is 88 ° C , the density of the hot dog is 980 kg / m 3 and the specific heat of the hot dog is 3900 J / kg ⋅ K . Write the expression for the non-dimension temperature ratio. T 1 = T − T ∞ T o − T ∞ ....... (I) Here, the non-dimension temperature ratio is T 1 , the skin temperature is T , the boiling water temperature is T ∞ and the centre temperature is T o . Write the expression for the ratio of the radius at which the temperature is found to the outer radius of the hot dog. r 1 = r r o ....... (II) Here, the radius at which the temperature is found is r and the outer radius of the hot dog is r o . Write the expression for the Fourier number from the chart. α t r o 2 = τ α = τ × r o 2 t ....... (III) Here, the Fourier number is τ , the thermal diffusivity of the hot dog is α , the time is t . Calculation: Substitute 94 ° C for T ∞ , 88 ° C for T and 59 ° C for T o in Equation (I). T 1 = 88 ° C − 94 ° C 59 ° C − 94 ° C = 0.17 Substitute 1.1 cm for r and 1.1 cm for r o in Equation (II) To determine (b) The thermal conductivity of the hot dog. To determine (c) The convection heat transfer coefficient.

Heat and Mass Transfer: Fundamentals and Applications

5th Edition

ISBN: 9780073398181

Author: Yunus A. Cengel Dr., Afshin J. Ghajar

Publisher: McGraw-Hill Education

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Question

Chapter 4, Problem 66P

To determine

(a)

The thermal diffusivity of the hot dog.

To determine

(b)

The thermal conductivity of the hot dog.

To determine

(c)

The convection heat transfer coefficient.

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Chapter 4, Problem 65P

Chapter 4, Problem 67P

Chapter 4 Solutions

Heat and Mass Transfer: Fundamentals and Applications

Ch. 4 - What is the physical significance of the Biot...Ch. 4 - What is lumped system analysis? When is it...Ch. 4 - In what medium is the lumped system analysis more...Ch. 4 - For which solid is the lumped system analysis more...Ch. 4 - For which kinds of bodies made of the same...Ch. 4 - Consider heat transfer between two identical hot...Ch. 4 - Consider heat transfer between two identical hot...Ch. 4 - Consider a hot baked potato on a plate. The...Ch. 4 - Consider a potato being baked in an oven that is...Ch. 4 - Consider two identical 4-kg pieces of roast beef....

Ch. 4 - Consider a sphere and a cylinder of equal volume...Ch. 4 - Obtain relations for the characteristic lengths of...Ch. 4 - Obtain a relation for the time required for a...Ch. 4 - A brick of 20310257mm in dimension is being burned...Ch. 4 - Prob. 15P Ch. 4 - Prob. 16P Ch. 4 - Metal plates...Ch. 4 - Prob. 18P Ch. 4 - Prob. 19P Ch. 4 - A 6-mm-thick stainless steel strip...Ch. 4 - After heat treatment, the 2-cm-thick metal plates...Ch. 4 - A long copper rod of diameter 2.0 cm is initially...Ch. 4 - Prob. 23P Ch. 4 - Steel rods...Ch. 4 - To warm up some milk for a baby, a mother pours...Ch. 4 - A person is found dead at 5 p.m. in a room whose...Ch. 4 - Prob. 27P Ch. 4 - In an experiment, the temperature of a hot gas...Ch. 4 - Prob. 29P Ch. 4 - Pulverized coal particles are used in oxy-fuel...Ch. 4 - Oxy-fuel combustion power plants use pulverized...Ch. 4 - Plasma spraying is a process used for coating a...Ch. 4 - Consider a spherical shell satellite with outer...Ch. 4 - Prob. 34P Ch. 4 - Prob. 35P Ch. 4 - Prob. 36EP Ch. 4 - Consider a sphere of diameter 5 cm, a cube of side...Ch. 4 - Prob. 38P Ch. 4 - An egg is to be cooked to a certain level of...Ch. 4 - What is an infinitely long cylinder? When is it...Ch. 4 - What is the physical significance of the Fourier...Ch. 4 - Prob. 42CP Ch. 4 - Prob. 43CP Ch. 4 - Prob. 44CP Ch. 4 - The Biot number during a heat transfer process...Ch. 4 - A body at an initial temperature of Ti, is brought...Ch. 4 - Prob. 47P Ch. 4 - In a meat processing plant, 2-cm-thick steaks...Ch. 4 - Prob. 49P Ch. 4 - Prob. 50P Ch. 4 - Prob. 51P Ch. 4 - Layers of 23-cm-thick meat slabs...Ch. 4 - Prob. 53P Ch. 4 - Prob. 54P Ch. 4 - Prob. 55EP Ch. 4 - Prob. 56P Ch. 4 - Prob. 57EP Ch. 4 - Prob. 58P Ch. 4 - A 30-cm-diameter, 4-m-high cylindrical column of a...Ch. 4 - Prob. 60P Ch. 4 - Prob. 61P Ch. 4 - Prob. 62P Ch. 4 - Prob. 63P Ch. 4 - Prob. 64P Ch. 4 - Prob. 65P Ch. 4 - Prob. 66P Ch. 4 - Prob. 67P Ch. 4 - Prob. 68P Ch. 4 - Prob. 69P Ch. 4 - For heat transfer purposes, an egg can be...Ch. 4 - Citrus fruits are very susceptible to cold...Ch. 4 - Prob. 72P Ch. 4 - Prob. 73P Ch. 4 - A 9-cm-diameter potato...Ch. 4 - Chickens with an average mass of 1.7 kg...Ch. 4 - Prob. 76P Ch. 4 - In Betty Crocker s Cookbook, it is stated that it...Ch. 4 - Prob. 78P Ch. 4 - Prob. 79P Ch. 4 - Oranges of 2.5-in-diameter...Ch. 4 - Prob. 81EP Ch. 4 - Under what conditions can a plane wall be treated...Ch. 4 - What is a semi-infinite medium? Give examples of...Ch. 4 - Consider a hot semi-infinite solid at an initial...Ch. 4 - Prob. 85EP Ch. 4 - Prob. 86P Ch. 4 - In areas where the air temperature remains below...Ch. 4 - Prob. 88P Ch. 4 - A highway made of asphalt is initially at a...Ch. 4 - A thick aluminum block initially at 20C is...Ch. 4 - Prob. 91P Ch. 4 - A thick wall made of refractory bricks...Ch. 4 - Prob. 93P Ch. 4 - Prob. 94P Ch. 4 - A thick wood slab (k=0.17W/m.K,=1.2810-7m2/s) and...Ch. 4 - Prob. 96P Ch. 4 - Prob. 97P Ch. 4 - Prob. 98P Ch. 4 - Prob. 99P Ch. 4 - Prob. 100P Ch. 4 - Prob. 101P Ch. 4 - A barefooted person whose feet are at 32C steps on...Ch. 4 - What is the product solution method? How is it...Ch. 4 - How is the product solution used to determine the...Ch. 4 - Prob. 105CP Ch. 4 - Consider a short cylinder whose top and bottom...Ch. 4 - Prob. 107P Ch. 4 - Prob. 108P Ch. 4 - A hot dog can be considered to be a cylinder 5 in...Ch. 4 - Prob. 110P Ch. 4 - Prob. 111P Ch. 4 - A 2-cm-high cylindrical ice block...Ch. 4 - Prob. 113P Ch. 4 - Prob. 114P Ch. 4 - Prob. 115P Ch. 4 - Prob. 116P Ch. 4 - Prob. 117P Ch. 4 - Prob. 118P Ch. 4 - Prob. 119CP Ch. 4 - How does refrigeration prevent or delay the...Ch. 4 - What are the environmental factors that affect the...Ch. 4 - What is the effect of cooking on the...Ch. 4 - Prob. 123CP Ch. 4 - Prob. 124CP Ch. 4 - Prob. 125CP Ch. 4 - Prob. 126CP Ch. 4 - How does the rate of freezing affect the...Ch. 4 - Prob. 128CP Ch. 4 - Prob. 129CP Ch. 4 - Prob. 130CP Ch. 4 - Prob. 131CP Ch. 4 - Prob. 132CP Ch. 4 - Prob. 133P Ch. 4 - Prob. 134P Ch. 4 - Chickens with an average mass of 2.2 kg and...Ch. 4 - Prob. 136EP Ch. 4 - Prob. 137P Ch. 4 - Prob. 138P Ch. 4 - A long roll of 2-m-wide and 0.5-cm-thick 1-Mn...Ch. 4 - Prob. 140P Ch. 4 - Prob. 141P Ch. 4 - Prob. 142P Ch. 4 - During a picnic on a hot summer day, the only...Ch. 4 - Two metal rods are being heated in an oven with...Ch. 4 - Stainless steel ball bearings...Ch. 4 - Prob. 146P Ch. 4 - Prob. 147P Ch. 4 - In Betty crockers Cookbook, it is stated that it...Ch. 4 - A watermelon initially at 35C is to be cooled by...Ch. 4 - Prob. 150P Ch. 4 - Prob. 151P Ch. 4 - Prob. 152P Ch. 4 - Prob. 153P Ch. 4 - Prob. 154P Ch. 4 - Prob. 155P Ch. 4 - Prob. 156P Ch. 4 - Prob. 157P Ch. 4 - Prob. 158P Ch. 4 - Prob. 159P Ch. 4 - Lumped system analysis of transient heat...Ch. 4 - Prob. 161P Ch. 4 - Prob. 162P Ch. 4 - An 18-cm-long, 16-cm-wide, and 12-cm-high hot iron...Ch. 4 - Prob. 164P Ch. 4 - Prob. 165P Ch. 4 - Prob. 166P Ch. 4 - Prob. 167P Ch. 4 - Prob. 168P Ch. 4 - A long 18-cm-diameter bar made of hardwood...Ch. 4 - Consider a 7.6-cm-long and 3-cm-diameter...Ch. 4 - Consider a 7.6-cm-diameter cylindrical lamb meat...Ch. 4 - Prob. 172P Ch. 4 - A small chicken (k=0.45W/m.K,=0.1510-6m2/s) and...Ch. 4 - A potato may be approximated as a 5.7-cm-diameter...Ch. 4 - When water, as in a pond or lake, is heated by...Ch. 4 - A large chunk of tissue at 35C with a thermal...Ch. 4 - Prob. 177P Ch. 4 - Citrus trees are very susceptible to cold weather,...

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