Page 11 - Bird R.B. Transport phenomena
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viii Contents
§11.5 Dimensional Analysis of the Equations of Change §13.4° Temperature Distribution for Turbulent Flow in
for Nonisothermal Systems 353 Tubes 411
Ex. 11.5-1 Temperature Distribution about a Long §13.5° Temperature Distribution for Turbulent Flow in
Cylinder 356 Jets 415
Ex. 11.5-2 Free Convection in a Horizontal Fluid §13.6* Fourier Analysis of Energy Transport in Tube Flow
Layer; Formation of Benard Cells 358 at Large Prandtl Numbers 416
Ex. 11.5-3 Surface Temperature of an Electrical Questions for Discussion 421
Heating Coil 360 Problems 421
Questions for Discussion 361
Problems 361
Chapter 14 Interphase Transport in
Chapter 12 Temperature Distributions with More Nonisothermal Systems 422
than One Independent Variable 374 §14.1 Definitions of Heat Transfer Coefficients 423
Ex. 14.1-1 Calculation of Heat Transfer Coefficients
§12.1 Unsteady Heat Conduction in Solids 374
Ex. 12.1-1 Heating of a Semi-Infinite Slab 375 from Experimental Data 426
§14.2 Analytical Calculations of Heat Transfer
Ex. 12.1-2 Heating of a Finite Slab 376
Ex. 12.1-3 Unsteady Heat Conduction near a Wall Coefficients for Forced Convection through Tubes
with Sinusoidal Heat Flux 379 and Slits 428
Ex. 12.1-4 Cooling of a Sphere in Contact with a §14.3 Heat Transfer Coefficients for Forced Convection
in Tubes 433
Well-Stirred Fluid 379
§12.2° Steady Heat Conduction in Laminar, Ex. 14.3-1 Design of a Tubular Heater 437
Incompressible Flow 381 §14.4 Heat Transfer Coefficients for Forced Convection
around Submerged Objects 438
Ex. 12.2-1 Laminar Tube Flow with Constant Heat
§14.5 Heat Transfer Coefficients for Forced Convection
Flux at the Wall 383
through Packed Beds 441
Ex. 12.2-2 Laminar Tube Flow with Constant Heat
Flux at the Wall: Asymptotic Solution for the §14.6° Heat Transfer Coefficients for Free and Mixed
Entrance Region 384 Convection 442
§12.3° Steady Potential Flow of Heat in Solids 385 Ex. 14.6-1 Heat Loss by Free Convection from a
Ex. 12.3-1 Temperature Distribution in a Horizontal Pipe 445
§14.7° Heat Transfer Coefficients for Condensation of
Wall 386
§12.4° Boundary Layer Theory for Nonisothermal Pure Vapors on Solid Surfaces 446
Flow 387 Ex. 14.7-1 Condensation of Steam on a Vertical
Ex. 12.4-1 Heat Transfer in Laminar Forced Surface 449
Convection along a Heated Flat Plate (the von Questions for Discussion 449
Kdrmdn Integral Method) 388 Problems 450
Ex. 12.4-2 Heat Transfer in Laminar Forced
Convection along a Heated Flat Plate (Asymptotic Chapter 15 Macroscopic Balances for
Solution for Large Prandtl Numbers) 391 Nonisothermal Systems 454
Ex. 12.4-3 Forced Convection in Steady Three-
Dimensional Flow at High Prandtl §15.1 The Macroscopic Energy Balance 455
Numbers 392 §15.2 The Macroscopic Mechanical Energy
Questions for Discussion 394 Balance 456
Problems 395 §15.3 Use of the Macroscopic Balances to Solve Steady-
State Problems with Flat Velocity Profiles 458
Chapter 13 Temperature Distributions in Ex. 15.3-1 The Cooling of an Ideal Gas 459
Ex. 15.3-2 Mixing of Two Ideal Gas
Turbulent Flow 407
Streams 460
§13.1 Time-Smoothed Equations of Change for §15.4 The d-Forms of the Macroscopic Balances 461
Incompressible Nonisothermal Flow 407 Ex. 15.4-1 Parallel- or Counter-Flow Heat
§13.2 The Time-Smoothed Temperature Profile near a Exchangers 462
Wall 409 Ex. 15.4-2 Power Requirement for Pumping a
§13.3 Empirical Expressions for the Turbulent Heat Compressible Fluid through a Long Pipe 464
Flux 410 §15.5° Use of the Macroscopic Balances to Solve
Ex. 13.3-1 An Approximate Relation for the Wall Unsteady-State Problems and Problems with
Heat Flux for Turbulent Flow in a Tube 411 Nonflat Velocity Profiles 465