Fundamentals Of Thermal-fluid Sciences In Si Units
Fundamentals Of Thermal-fluid Sciences In Si Units
5th Edition
ISBN: 9789814720953
Author: Yunus Cengel, Robert Turner, John Cimbala
Publisher: McGraw-Hill Education
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Chapter 19, Problem 15P
To determine

The ratio of the average convection heat transfer coefficient (h) over the entire plate length to the local convection heat transfer coefficient (hx) at x=L.

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2. Consider a polymeric membrane within a 6 cm diameter stirred ultrafiltration cell. The membrane is 30 μm thick. The membrane has pores equivalent in size to a spherical molecule with a molecular weight of 100,000, a porosity of 80%, and a tortuosity of 2.5. On the feed side of the membrane, we have a solution containing a protein at a concentration of 8 g L-1 with these properties: a = 3 nm and DAB = 6.0 × 10-7 cm² s¹. The solution viscosity is 1 cP. The hydrodynamic pressure on the protein side of the membrane is 20 pounds per square inch (psi) higher than on the filtrate side of the membrane. Assume that the hydrodynamic pressure difference is much larger than the osmotic pressure difference (advection >> diffusion). Determine the convective flow rate of the solution across the membrane.
1. Calculate the filtration flow rate (cm³ s¹) of a pure fluid across a 100 cm² membrane. Assume the viscosity (µ) of the fluid is 1.8 cP. The porosity of the membrane is 40% and the thickness of the membrane is 500 μm. The pores run straight through the membrane and these pores have a radius of 0.225 μm. The pressure drop applied across the membrane is 75 psi. (Note: 1 cP = 0.001 N s m²² = 0.001 Pa s.)
3. Tong and Anderson (1996) obtained for BSA the following data in a polyacrylamide gel for the partition coefficient (K) as a function of the gel volume fraction (4). The BSA they used had a molecular weight of 67,000, a molecular radius of 3.6 nm, and a diffusivity of 6 × 10-7 cm2 s-1. Compare the Ogston equation K=exp + to their data and obtain an estimate for the radius of the cylindrical fibers (af) that comprise the gel. Hint: You will need to plot Ink as a function of gel volume fraction as part of your analysis. Please include your MATLAB, or other, code with your solution. Gel Volume Fraction (4) KBSA 0.00 1.0 0.025 0.35 0.05 0.09 0.06 0.05 0.075 0.017 0.085 0.02 0.105 0.03

Chapter 19 Solutions

Fundamentals Of Thermal-fluid Sciences In Si Units

Ch. 19 - The upper surface of a 50-cm-thick solid plate (k...Ch. 19 - Prob. 12PCh. 19 - During air cooling of oranges, grapefruit, and...Ch. 19 - During air cooling of steel balls, the convection...Ch. 19 - Prob. 15PCh. 19 - Water at 43.3°C flows over a large plate at a...Ch. 19 - Prob. 17PCh. 19 - Hot engine oil at 150°C is flowing in parallel...Ch. 19 - Prob. 19PCh. 19 - Prob. 22PCh. 19 - Prob. 23PCh. 19 - Prob. 24PCh. 19 - Prob. 25PCh. 19 - Prob. 27PCh. 19 - Prob. 28PCh. 19 - Prob. 30PCh. 19 - Prob. 31PCh. 19 - Solar radiation is incident on the glass cover of...Ch. 19 - Liquid mercury at 250°C is flowing with a velocity...Ch. 19 - Prob. 35PCh. 19 - Prob. 36PCh. 19 - Air is flowing in parallel over the upper surface...Ch. 19 - Prob. 40PCh. 19 - Consider laminar flow of air across a hot circular...Ch. 19 - Prob. 42PCh. 19 - A heated long cylindrical rod is placed in a cross...Ch. 19 - A person extends his uncovered arms into the windy...Ch. 19 - Prob. 46PCh. 19 - Prob. 47PCh. 19 - Prob. 49PCh. 19 - Consider a person who is trying to keep cool on a...Ch. 19 - A 12-ft-long, 1.5-kW electrical resistance wire is...Ch. 19 - Prob. 52PCh. 19 - Prob. 53PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - A 10-cm-diameter, 30-cm-high cylindrical bottle...Ch. 19 - Prob. 58PCh. 19 - An incandescent lightbulb is an inexpensive but...Ch. 19 - Prob. 60PCh. 19 - Prob. 61PCh. 19 - Prob. 62PCh. 19 - A coated sheet is being dried with hot air blowing...Ch. 19 - Prob. 65PCh. 19 - Consider laminar forced convection in a circular...Ch. 19 - Consider turbulent forced convection in a circular...Ch. 19 - What does the logarithmic mean temperature...Ch. 19 - Prob. 69PCh. 19 - Prob. 70PCh. 19 - Prob. 71PCh. 19 - Prob. 72PCh. 19 - Prob. 73PCh. 19 - Cooling water available at 10°C is used to...Ch. 19 - Prob. 75PCh. 19 - Inside a condenser, there is a bank of seven...Ch. 19 - Prob. 79PCh. 19 - Prob. 81PCh. 19 - Prob. 82PCh. 19 - In a thermal system, water enters a 25-mm-diameter...Ch. 19 - Prob. 84PCh. 19 - Prob. 85PCh. 19 - Prob. 86PCh. 19 - Prob. 88PCh. 19 - Prob. 89PCh. 19 - Prob. 90PCh. 19 - Glycerin is being heated by flowing between two...Ch. 19 - Determine the convection heat transfer coefficient...Ch. 19 - Prob. 94PCh. 19 - Water is to be heated from 10°C to 80°C as it...Ch. 19 - Consider a fluid with a Prandtl number of 7...Ch. 19 - The hot water needs of a household are to be met...Ch. 19 - Prob. 98PCh. 19 - Prob. 99PCh. 19 - Hot air at atmospheric pressure and 85°C enters a...Ch. 19 - Prob. 102PCh. 19 - Prob. 104PCh. 19 - Prob. 105PCh. 19 - Prob. 106PCh. 19 - Prob. 107RQCh. 19 - Prob. 108RQCh. 19 - The passenger compartment of a minivan traveling...Ch. 19 - Prob. 110RQCh. 19 - Prob. 111RQCh. 19 - Prob. 112RQCh. 19 - Prob. 113RQCh. 19 - Prob. 114RQCh. 19 - Prob. 115RQCh. 19 - Prob. 116RQCh. 19 - Airstream at 1 atm flows, with a velocity of 15...Ch. 19 - Prob. 118RQCh. 19 - Prob. 119RQCh. 19 - Prob. 120RQCh. 19 - Prob. 121RQCh. 19 - A 3-m-internal-diameter spherical tank made of...Ch. 19 - Prob. 123RQCh. 19 - Prob. 124RQCh. 19 - Prob. 125RQCh. 19 - Prob. 126RQCh. 19 - Prob. 127RQCh. 19 - Prob. 128RQCh. 19 - Prob. 129RQCh. 19 - Prob. 130RQCh. 19 - Prob. 131RQCh. 19 - Prob. 132RQCh. 19 - Prob. 133RQCh. 19 - Prob. 134RQCh. 19 - Prob. 135RQCh. 19 - Prob. 136RQCh. 19 - Prob. 137RQCh. 19 - Prob. 138RQCh. 19 - Prob. 139RQCh. 19 - Prob. 140RQCh. 19 - Liquid water enters a 10-m-long smooth rectangular...
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