Modeling in Transport Phenomena. A Conceptual Approach by Ismail Tosun

By Ismail Tosun

Content material:
Preface to the second one edition

, Page xvii
Preface to the 1st edition

, Pages xix-xxi
1 - Introduction

, Pages 1-12
2 - Molecular and convective transport

, Pages 13-34
3 - Interphase shipping and move coefficients

, Pages 35-57
4 - overview of move coefficients: Engineering correlations

, Pages 59-115
5 - cost of iteration in momentum, strength, and mass transport

, Pages 117-130
6 - Steady-state macroscopic balances

, Pages 131-159
7 - Unsteady-state macroscopic balances

, Pages 161-211
8 - regular microscopic balances with out generation

, Pages 213-304
9 - regular microscopic balances with generation

, Pages 305-407
10 - Unsteady-state microscopic balances with out generation

, Pages 409-482
11 - Unsteady-state microscopic balances with generation

, Pages 483-522
Appendix A - Mathematical preliminaries

, Pages 523-556
Appendix B - ideas of differential equations

, Pages 557-588
Appendix C - Flux expressions for mass, momentum, and energy

, Pages 589-594
Appendix D - actual properties

, Pages 595-599
Appendix E - Constants and conversion factors

, Pages 601-602
Index

, Pages 603-606

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Additional info for Modeling in Transport Phenomena. A Conceptual Approach

Example text

5-11) Substitution of Eq. 5-11) into Eq. 5-13) and where jH and jM are the Colburn j -factors for heat and mass transfer, respectively. Physical properties in Eqs. 5-13) must be evaluated at T = (Tw + T∞ )/2. Note that Eqs. 5-13) reduce to the Reynolds analogy, Eq. 5-10), for fluids with Pr = 1 and Sc = 1. 6 Sc 3000. However, even if these criteria are satisfied, the use of the Chilton-Colburn analogy is restricted by the flow geometry. 4. 4 indicates that the term f/2 is not equal to the Colburn j -factors in the case of flow around cylinders and spheres.

4 Water evaporates from a wetted surface of rectangular shape when air at 1 atm and 35 ◦ C is blown over the surface at a velocity of 15 m/s. 6 h = 21v∞ where h is in W/m2 ·K and v∞ , air velocity, is in m/s. 5 m2 . 81 × 10−5 m2 /s 53 Notation Assumption 1. Ideal gas behavior. 6 Pr 21v∞ Sc ρC 2/3 P Substitution of the values into Eq. 45 × 10−4 kmol/s NOTATION A AH AM CP ci DAB FD f h jH jM K k kc L M N n˙ i P ˙ Q area, m2 heat transfer area, m2 mass transfer area, m2 heat capacity at constant pressure, kJ/kg·K concentration of species i, kmol/m3 diffusion coefficient for system A-B, m2 /s drag force, N friction factor heat transfer coefficient, W/m2 ·K Chilton-Colburn j -factor for heat transfer Chilton-Colburn j -factor for mass transfer kinetic energy per unit volume, J/m3 thermal conductivity, W/m·K mass transfer coefficient, m/s length, m molecular weight, kg/kmol total molar flux, kmol/m2 ·s molar flow rate of species i, kmol/s pressure, Pa heat transfer rate, W (1) 54 q qR R T t v W˙ x y z α δ δc δt ε μ ν π ρ σ τyx 3.

The surface of the plate is coated with a material, A, which has a very low solubility in liquid B . The concentration distribution of species A in the liquid is given by Bird et al. 7. Solid dissolution into a falling film. 4 Total Flux where cAo is the solubility of A in B , η is the dimensionless parameter defined by η=x ρgδ 9μDAB z 1/3 and (4/3) is the gamma function defined by ∞ (n) = β n−1 e−β dβ n>0 0 Calculate the rate of transfer of species A into the flowing liquid. Solution Assumptions 1.

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