{"product_id":"applications-of-the-surface-renewal-model-of-mass-transfer-hardback-9781394312825","title":"Applications of the Surface Renewal Model of Mass Transfer (Hardback) 9781394312825","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eApplications of the Surface Renewal Model of Mass Transfer\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eHengshuo Huang (Author), Siddharth G. Chatterjee (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781394312825, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 26 January 2026\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e304 pages\u003cbr\u003e22.9 x 15.2 x 2 cm, 0.676 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003cb\u003eIntroduction to the surface renewal model of mass transfer for the analysis and design of gas-liquid contacting equipment and membrane filters\u003c\/b\u003e \u003c\/p\u003e\n\u003cp\u003e\u003ci\u003eApplications of the Surface Renewal Model of Mass Transfer\u003c\/i\u003e provides a rigorous application of the surface renewal theory of mass transfer to describe physical and chemical gas absorption and membrane filtration. This book demonstrates that the surface renewal model can predict the experimentally measured liquid-side physical mass-transfer coefficient in gas absorption with a fair degree of accuracy, shows that the surface renewal model can correlate permeate flux and transmembrane pressure drop data in constant pressure and constant flux microfiltration, and contains numerous examples of the application of the model to real-world situations. \u003c\/p\u003e\n\u003cp\u003eThis book includes information on: \u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e Applications of the surface renewal model in fields like chemical engineering and oceanography\u003c\/li\u003e\n\u003cli\u003e The complex nature of the surface renewal model as a better description of the turbulent hydrodynamics that prevail at the gas-liquid interface compared to the film model \u003c\/li\u003e\n\u003cli\u003e Measurements of the liquid-side physical mass-transfer coefficient in gas absorption studies and surface-age distributions in wind-wave tanks\u003c\/li\u003e\n\u003cli\u003e Flow instabilities induced by wall roughness or spacers or by their deliberate introduction into the main flow in membrane filtration\u003c\/li\u003e\n\u003cli\u003e Analysis and design of gas-liquid contactors (stirred tanks and packed towers) and membrane filters using a mass-transfer approach\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003e\u003ci\u003eApplications of the Surface Renewal Model of Mass Transfer\u003c\/i\u003e is an excellent, first-of-its-kind reference for researchers in academia and industry, along with advanced students in chemical engineering, environmental engineering, bioprocess\/biological engineering, paper engineering, and related programs of study.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003eAbout the Companion Website xv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 The Surface Renewal Model of Mass Transfer 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction 1\u003c\/p\u003e \u003cp\u003e1.2 Literature Review 2\u003c\/p\u003e \u003cp\u003eReferences 8\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Age-Distribution Function of the Surface Renewal Model 15\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 15\u003c\/p\u003e \u003cp\u003e2.2 Danckwerts Age Distribution 15\u003c\/p\u003e \u003cp\u003e2.2.1 Case 1 16\u003c\/p\u003e \u003cp\u003e2.2.2 Case 2 17\u003c\/p\u003e \u003cp\u003e2.3 Generalized Danckwerts Age Distribution 19\u003c\/p\u003e \u003cp\u003eNotation 23\u003c\/p\u003e \u003cp\u003eGreek Letters 24\u003c\/p\u003e \u003cp\u003eHomework Exercises 24\u003c\/p\u003e \u003cp\u003eReferences 24\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Physical Gas Absorption in a Large Volume of Liquid 27\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 27\u003c\/p\u003e \u003cp\u003e3.2 Rates of Absorption and Dissolved-Gas Transfer 27\u003c\/p\u003e \u003cp\u003e3.3 Comparison of the Surface Renewal Model with Experimental Data 32\u003c\/p\u003e \u003cp\u003eNotation 34\u003c\/p\u003e \u003cp\u003eGreek Letters 35\u003c\/p\u003e \u003cp\u003eHomework Exercises 35\u003c\/p\u003e \u003cp\u003eReferences 35\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Physical Gas Absorption in a Stirred Batch Cell 37\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 37\u003c\/p\u003e \u003cp\u003e4.2 Interfacial Mass-Transfer Model 38\u003c\/p\u003e \u003cp\u003e4.2.1 Zero Gas-Phase Mass-Transfer Resistance 38\u003c\/p\u003e \u003cp\u003e4.2.2 Finite Gas-Phase Mass-Transfer Resistance 42\u003c\/p\u003e \u003cp\u003e4.3 Philosophical Interlude 45\u003c\/p\u003e \u003cp\u003e4.4 Bulk Mass-Transfer Model 46\u003c\/p\u003e \u003cp\u003e4.4.1 Zero Gas-Phase Mass-Transfer Resistance 47\u003c\/p\u003e \u003cp\u003e4.4.2 Finite Gas-Phase Mass-Transfer Resistance 47\u003c\/p\u003e \u003cp\u003e4.5 Analytical Expressions for the Rates of Absorption and Dissolved-Gas Transfer Using the Laplace Transform Method 48\u003c\/p\u003e \u003cp\u003e4.5.1 Gaver–Stehfest Algorithm 48\u003c\/p\u003e \u003cp\u003e4.5.2 Zero Gas-Phase Mass-Transfer Resistance 49\u003c\/p\u003e \u003cp\u003e4.5.3 Finite Gas-Phase Mass-Transfer Resistance 50\u003c\/p\u003e \u003cp\u003e4.6 Conventional Pseudo-Steady-State LDF Model 52\u003c\/p\u003e \u003cp\u003e4.7 Absorption of Oxygen and Hydrogen in Water 52\u003c\/p\u003e \u003cp\u003eNotation 64\u003c\/p\u003e \u003cp\u003eGreek Letters 66\u003c\/p\u003e \u003cp\u003eHomework Exercises 66\u003c\/p\u003e \u003cp\u003eReferences 67\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Gas Absorption with First-Order Reaction in a Stirred Batch Cell 69\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 69\u003c\/p\u003e \u003cp\u003e5.2 Interfacial Mass-Transfer Model 72\u003c\/p\u003e \u003cp\u003e5.2.1 Zero Gas-Phase Mass-Transfer Resistance 72\u003c\/p\u003e \u003cp\u003e5.2.2 Finite Gas-Phase Mass-Transfer Resistance 78\u003c\/p\u003e \u003cp\u003e5.3 Bulk Mass-Transfer Model 83\u003c\/p\u003e \u003cp\u003e5.3.1 Zero Gas-Phase Mass-Transfer Resistance 84\u003c\/p\u003e \u003cp\u003e5.3.2 Finite Gas-Phase Mass-Transfer Resistance 85\u003c\/p\u003e \u003cp\u003e5.4 Analytical Expressions for the Rates of Absorption and Dissolved-Gas Transfer Using the Laplace Transform Method 85\u003c\/p\u003e \u003cp\u003e5.4.1 Gaver–Stehfest Algorithm 85\u003c\/p\u003e \u003cp\u003e5.4.2 Zero Gas-Phase Mass-Transfer Resistance 86\u003c\/p\u003e \u003cp\u003e5.4.3 Finite Gas-Phase Mass-Transfer Resistance 88\u003c\/p\u003e \u003cp\u003e5.5 Pseudo-Steady-State (PSS) Model 89\u003c\/p\u003e \u003cp\u003e5.5.1 Zero Gas-Phase Mass-Transfer Resistance 89\u003c\/p\u003e \u003cp\u003e5.5.2 Finite Gas-Phase Mass-Transfer Resistance 91\u003c\/p\u003e \u003cp\u003e5.6 Absorption of Oxygen in Water Containing a Liquid-Phase Reagent (e.g., Na 2 SO 3) 91\u003c\/p\u003e \u003cp\u003eNotation 100\u003c\/p\u003e \u003cp\u003eGreek Letters 102\u003c\/p\u003e \u003cp\u003eAcronyms 102\u003c\/p\u003e \u003cp\u003eHomework Exercises 103\u003c\/p\u003e \u003cp\u003eReferences 103\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Gas Absorption with First-Order Reaction in a Packed Tower 107\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 107\u003c\/p\u003e \u003cp\u003e6.2 Surface Renewal Model 109\u003c\/p\u003e \u003cp\u003e6.2.1 Physical Absorption 115\u003c\/p\u003e \u003cp\u003e6.2.2 Liquid-Phase Control 116\u003c\/p\u003e \u003cp\u003e6.2.3 Gas-Phase Control 117\u003c\/p\u003e \u003cp\u003e6.3 Film Model 118\u003c\/p\u003e \u003cp\u003e6.3.1 Physical Absorption 120\u003c\/p\u003e \u003cp\u003e6.3.2 Liquid-Phase Control 120\u003c\/p\u003e \u003cp\u003e6.3.3 Gas-Phase Control 120\u003c\/p\u003e \u003cp\u003e6.4 Mass-Transfer and Hydraulic Correlations 121\u003c\/p\u003e \u003cp\u003e6.5 Illustrative Calculations 122\u003c\/p\u003e \u003cp\u003e6.5.1 System 1 124\u003c\/p\u003e \u003cp\u003e6.5.2 System 2 126\u003c\/p\u003e \u003cp\u003e6.5.3 System 3 128\u003c\/p\u003e \u003cp\u003e6.5.4 Outlet Gas- and Liquid-Phase Concentrations as Functions of Hatta Number 129\u003c\/p\u003e \u003cp\u003e6.5.5 Effect of Operational Gas and Liquid Mass Velocities on Gas Concentration Profile 131\u003c\/p\u003e \u003cp\u003e6.5.6 Effect of Hatta Number on the Height and Number of Overall Gasand Liquid-Phase Mass-Transfer Units 133\u003c\/p\u003e \u003cp\u003eNotation 135\u003c\/p\u003e \u003cp\u003eGreek Letters 137\u003c\/p\u003e \u003cp\u003eHomework Exercises 137\u003c\/p\u003e \u003cp\u003eAcknowledgment 138\u003c\/p\u003e \u003cp\u003eReferences 138\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Gas Absorption with Instantaneous Reaction in a Packed Tower 141\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 141\u003c\/p\u003e \u003cp\u003e7.2 Theoretical Analysis 144\u003c\/p\u003e \u003cp\u003e7.2.1 Film Model 145\u003c\/p\u003e \u003cp\u003e7.2.1.1 Zero Gas-Phase Mass-Transfer Resistance 147\u003c\/p\u003e \u003cp\u003e7.2.1.2 Finite Gas-Phase Mass-Transfer Resistance 152\u003c\/p\u003e \u003cp\u003e7.2.2 Surface Renewal Model 153\u003c\/p\u003e \u003cp\u003e7.2.2.1 Zero Gas-Phase Mass-Transfer Resistance 154\u003c\/p\u003e \u003cp\u003e7.2.2.2 Finite Gas-Phase Mass-Transfer Resistance 160\u003c\/p\u003e \u003cp\u003e7.3 Illustrative Calculations 166\u003c\/p\u003e \u003cp\u003e7.3.1 Zero Gas-Phase Mass-Transfer Resistance 166\u003c\/p\u003e \u003cp\u003e7.3.1.1 Tower Concentration Profiles 168\u003c\/p\u003e \u003cp\u003e7.3.1.2 Movement of Reaction Front 170\u003c\/p\u003e \u003cp\u003e7.3.2 Finite Gas-Phase Mass-Transfer Resistance 171\u003c\/p\u003e \u003cp\u003e7.3.2.1 Validity of the Solution of the Surface Renewal Model 171\u003c\/p\u003e \u003cp\u003e7.3.2.2 Tower Concentration Profiles 173\u003c\/p\u003e \u003cp\u003e7.3.2.3 Effect of Concentration of B in the Incoming Liquid on Tower Performance 175\u003c\/p\u003e \u003cp\u003eNotation 179\u003c\/p\u003e \u003cp\u003eGreek Letters 182\u003c\/p\u003e \u003cp\u003eAcronyms 182\u003c\/p\u003e \u003cp\u003eHomework Exercises 182\u003c\/p\u003e \u003cp\u003eReferences 183\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Constant Pressure Crossflow Ultrafiltration (UF) 187\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 187\u003c\/p\u003e \u003cp\u003e8.2 Surface Renewal Model 188\u003c\/p\u003e \u003cp\u003e8.2.1 Empirical Equation 190\u003c\/p\u003e \u003cp\u003e8.2.2 Diffusion Equation 191\u003c\/p\u003e \u003cp\u003e8.3 Film Model 196\u003c\/p\u003e \u003cp\u003e8.4 Mass-Transfer Coefficient 196\u003c\/p\u003e \u003cp\u003e8.5 Relation Between Limiting Flux and Transmembrane Pressure (tmp) 197\u003c\/p\u003e \u003cp\u003e8.6 Application of the Surface Renewal and Film Models 197\u003c\/p\u003e \u003cp\u003e8.6.1 UF of Cheese Whey 197\u003c\/p\u003e \u003cp\u003e8.6.2 UF of Dextran Solutions 200\u003c\/p\u003e \u003cp\u003e8.6.3 UF of Skim Milk 204\u003c\/p\u003e \u003cp\u003eNotation 207\u003c\/p\u003e \u003cp\u003eGreek Letters 208\u003c\/p\u003e \u003cp\u003eAcronyms 209\u003c\/p\u003e \u003cp\u003eHomework Exercises 209\u003c\/p\u003e \u003cp\u003eAcknowledgment 209\u003c\/p\u003e \u003cp\u003eReferences 210\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Constant Pressure Crossflow Microfiltration 213\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 213\u003c\/p\u003e \u003cp\u003e9.2 Surface Renewal Model of Crossflow Microfiltration 216\u003c\/p\u003e \u003cp\u003e9.2.1 Complete Model 216\u003c\/p\u003e \u003cp\u003e9.2.2 Approximate Model 221\u003c\/p\u003e \u003cp\u003e9.3 Correlation of the Surface Renewal Model with Experimental Permeate Flux Data 224\u003c\/p\u003e \u003cp\u003e9.3.1 Data of Hasan et al. (2013) 224\u003c\/p\u003e \u003cp\u003e9.3.1.1 Fermentation 224\u003c\/p\u003e \u003cp\u003e9.3.1.2 Membrane Characteristics 224\u003c\/p\u003e \u003cp\u003e9.3.1.3 Experimental Runs 225\u003c\/p\u003e \u003cp\u003e9.3.1.4 Model Validation 225\u003c\/p\u003e \u003cp\u003e9.3.2 Dependence of the Surface Renewal Frequency on Feed Velocity 229\u003c\/p\u003e \u003cp\u003e9.3.3 Data of Mallubhotla and Belfort (1997) 231\u003c\/p\u003e \u003cp\u003e9.3.3.1 Model Validation 232\u003c\/p\u003e \u003cp\u003eNotation 242\u003c\/p\u003e \u003cp\u003eGreek Letters 243\u003c\/p\u003e \u003cp\u003eAcronyms 244\u003c\/p\u003e \u003cp\u003eHomework Exercises 244\u003c\/p\u003e \u003cp\u003eReferences 245\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Constant Flux Crossflow Microfiltration 249\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction 249\u003c\/p\u003e \u003cp\u003e10.2 Surface Renewal Model of Crossflow Microfiltration 252\u003c\/p\u003e \u003cp\u003e10.2.1 Complete Model: Compressible Cake (n ≠ 0) 254\u003c\/p\u003e \u003cp\u003e10.2.1.1 Variation of TMP with Process Time 255\u003c\/p\u003e \u003cp\u003e10.2.1.2 Variation of TMP with Permeate Flux 255\u003c\/p\u003e \u003cp\u003e10.2.2 Subsidiary Model: Incompressible Cake (n = 0) 257\u003c\/p\u003e \u003cp\u003e10.3 Correlation of the Surface Renewal Model with Experimental TMP Data 258\u003c\/p\u003e \u003cp\u003e10.3.1 Data of Ho and Zydney (2002) 258\u003c\/p\u003e \u003cp\u003e10.3.2 Data of Kovalsky et al. (2009) 262\u003c\/p\u003e \u003cp\u003e10.3.3 Data of Miller et al. (2014) 263\u003c\/p\u003e \u003cp\u003eNotation 271\u003c\/p\u003e \u003cp\u003eGreek Letters 272\u003c\/p\u003e \u003cp\u003eAcronyms 272\u003c\/p\u003e \u003cp\u003eHomework Exercises 273\u003c\/p\u003e \u003cp\u003eReferences 274\u003c\/p\u003e \u003cp\u003eIndex 277\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Industrial chemistry \u0026amp; manufacturing technologies [\u003ca title=\"See our other books on Industrial chemistry \u0026amp; manufacturing technologies\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Industrial%20chemistry%20\u0026amp;%20manufacturing%20technologies%20%5BTD%5D%22\"\u003eTD\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52433740628248,"sku":"9781394312825","price":115.47,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781394312825.jpg?v=1784853678","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/applications-of-the-surface-renewal-model-of-mass-transfer-hardback-9781394312825","provider":"Freshly Printed Books","version":"1.0","type":"link"}