{"product_id":"numerical-calculation-of-elastohydrodynamic-lubrication-9781118920961","title":"Numerical Calculation of Elastohydrodynamic","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe book not only offers scientists and engineers a clear inter-disciplinary introduction and orientation to all major EHL problems and their solutions but, most importantly, it also provides numerical programs on specific application in engineering.\u003cbr\u003e\u003cbr\u003e A one-stop reference providing equations and their solutions to all major elastohydrodynamic lubrication (EHL) problems, plus numerical programs on specific applications in engineering\u003cbr\u003e offers engineers and scientists a clear inter-disciplinary introduction and a concise program for practical engineering applications to most important EHL problems and their solutions\u003cbr\u003e brings together a number of case studies in one text, each being solved using solution methods which share common features and methods\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eIntroduction xi\u003c\/p\u003e \u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003eNomenclature xvii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Basic equations of elastohydrodynamic lubrication 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Basic equations 1\u003c\/p\u003e \u003cp\u003e1.1.1 One-dimensional Reynolds equation of elastohydrodynamic lubrication 1\u003c\/p\u003e \u003cp\u003e1.1.2 Two-dimensional Reynolds equation of EHL 3\u003c\/p\u003e \u003cp\u003e1.1.3 EHL Reynolds equation with two direction velocities 3\u003c\/p\u003e \u003cp\u003e1.1.4 Time-dependent EHL Reynolds equation 4\u003c\/p\u003e \u003cp\u003e1.2 Film thickness equation without elastic deformation 4\u003c\/p\u003e \u003cp\u003e1.2.1 Film thickness equation in line contact 4\u003c\/p\u003e \u003cp\u003e1.2.2 Film thickness equation in point contact 5\u003c\/p\u003e \u003cp\u003e1.2.3 Film thickness equation in ellipse contact 5\u003c\/p\u003e \u003cp\u003e1.3 Surface elastic deformation 6\u003c\/p\u003e \u003cp\u003e1.3.1 One-dimensional elastic deformation equation 6\u003c\/p\u003e \u003cp\u003e1.3.2 Two-dimensional elastic deformation equation 6\u003c\/p\u003e \u003cp\u003e1.4 Viscosity and density equations varying with pressure and temperature 7\u003c\/p\u003e \u003cp\u003e1.4.1 Viscosity equations 7\u003c\/p\u003e \u003cp\u003e1.4.2 Density equation 9\u003c\/p\u003e \u003cp\u003e1.5 Load balancing condition 10\u003c\/p\u003e \u003cp\u003e1.5.1 Load balancing equation 10\u003c\/p\u003e \u003cp\u003e1.5.2 Numerical calculation of load balancing 11\u003c\/p\u003e \u003cp\u003e1.6 Finite difference method of Reynolds equation 15\u003c\/p\u003e \u003cp\u003e1.6.1 Discretization of equation 15\u003c\/p\u003e \u003cp\u003e1.6.2 Different forms of Reynolds equation 17\u003c\/p\u003e \u003cp\u003e1.6.3 Iteration of differential equation 18\u003c\/p\u003e \u003cp\u003e1.6.4 Iteration convergence condition 18\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Numerical calculation method and program of elastic deformation 21\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Numerical method and program of elastic deformation in line contact 21\u003c\/p\u003e \u003cp\u003e2.1.1 Equations of elastic deformation 21\u003c\/p\u003e \u003cp\u003e2.1.2 Numerical method of elastic deformation 22\u003c\/p\u003e \u003cp\u003e2.1.3 Calculation diagram and program 23\u003c\/p\u003e \u003cp\u003e2.1.4 Example 25\u003c\/p\u003e \u003cp\u003e2.2 Numerical method and program of elastic deformation in point contact 27\u003c\/p\u003e \u003cp\u003e2.2.1 Equation of elastic deformation 27\u003c\/p\u003e \u003cp\u003e2.2.2 Numerical method for elastic deformation in point contact 28\u003c\/p\u003e \u003cp\u003e2.2.3 Calculation diagram 29\u003c\/p\u003e \u003cp\u003e2.2.4 Program 30\u003c\/p\u003e \u003cp\u003e2.2.5 Example 31\u003c\/p\u003e \u003cp\u003e2.3 Numerical calculation method and program for elastic deformation in ellipse contact 33\u003c\/p\u003e \u003cp\u003e2.3.1 Contact geometry 33\u003c\/p\u003e \u003cp\u003e2.3.2 Contact pressure and contact zone 36\u003c\/p\u003e \u003cp\u003e2.3.3 Calculation program 38\u003c\/p\u003e \u003cp\u003e2.3.4 Calculation results 44\u003c\/p\u003e \u003cp\u003e2.4 Calculation of elastic deformation with multigrid integration technique 44\u003c\/p\u003e \u003cp\u003e2.4.1 Principle of multigrid integration 44\u003c\/p\u003e \u003cp\u003e2.4.2 Calculation programs and examples 49\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Numerical calculation method and program for energy equation 61\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Energy equation 61\u003c\/p\u003e \u003cp\u003e3.1.1 One-dimensional energy equation 62\u003c\/p\u003e \u003cp\u003e3.1.2 Two-dimensional energy equation 62\u003c\/p\u003e \u003cp\u003e3.2 Numerical method and program for thermal hydrodynamic lubrication 64\u003c\/p\u003e \u003cp\u003e3.2.1 One-dimensional thermal hydrodynamic lubrication 64\u003c\/p\u003e \u003cp\u003e3.2.2 Two-dimensional thermal hydrodynamic lubrication 68\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Numerical calculation method and program of isothermal EHL in line contact 75\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Basic equations and Nondimensional equations 75\u003c\/p\u003e \u003cp\u003e4.1.1 Basic equations 75\u003c\/p\u003e \u003cp\u003e4.1.2 Nondimensional equations 76\u003c\/p\u003e \u003cp\u003e4.1.3 Discrete equations 77\u003c\/p\u003e \u003cp\u003e4.2 Numerical calculation method and program 78\u003c\/p\u003e \u003cp\u003e4.2.1 Iterative method 78\u003c\/p\u003e \u003cp\u003e4.2.2 Program and example 79\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Newton–Raphson method and programs to solve EHL problems in line contact 87\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Basic equations 87\u003c\/p\u003e \u003cp\u003e5.2 Newton–Raphson iterative method 88\u003c\/p\u003e \u003cp\u003e5.2.1 Coefficient matrix 88\u003c\/p\u003e \u003cp\u003e5.2.2 Calculation of variables in equations 89\u003c\/p\u003e \u003cp\u003e5.3 Numerical method and program of Newton–Raphson 90\u003c\/p\u003e \u003cp\u003e5.3.1 Coefficient treatment in nonlubricated region 90\u003c\/p\u003e \u003cp\u003e5.3.2 Determination of ρeHe 90\u003c\/p\u003e \u003cp\u003e5.3.3 Determination and correction of initial rigid film thickness 91\u003c\/p\u003e \u003cp\u003e5.3.4 Calculation Program 91\u003c\/p\u003e \u003cp\u003e5.3.5 Example 96\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Numerical calculation method and program of isothermal EHL in point contact 99\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Basic equations of isothermal EHL in point contact 99\u003c\/p\u003e \u003cp\u003e6.1.1 Basic equations 99\u003c\/p\u003e \u003cp\u003e6.1.2 Nondimensional equations 100\u003c\/p\u003e \u003cp\u003e6.2 Numerical calculation method and program 101\u003c\/p\u003e \u003cp\u003e6.2.1 Differential equations 101\u003c\/p\u003e \u003cp\u003e6.2.2 Iteration method 102\u003c\/p\u003e \u003cp\u003e6.2.3 Calculation diagram 102\u003c\/p\u003e \u003cp\u003e6.2.4 Calculation program 106\u003c\/p\u003e \u003cp\u003e6.2.5 Example 111\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Numerical calculation method and programs of multigrid method for isothermal EHL 113\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Basic principles of multigrid method 113\u003c\/p\u003e \u003cp\u003e7.1.1 Grid structure 113\u003c\/p\u003e \u003cp\u003e7.1.2 Equation discrete 114\u003c\/p\u003e \u003cp\u003e7.1.3 Restriction and extension 114\u003c\/p\u003e \u003cp\u003e7.2 Nonlinear full approximation scheme of multigrid method 116\u003c\/p\u003e \u003cp\u003e7.2.1 Parameter transformation downwards 116\u003c\/p\u003e \u003cp\u003e7.2.2 Correction of lower grid parameters 116\u003c\/p\u003e \u003cp\u003e7.2.3 Parameter transformation upwards 118\u003c\/p\u003e \u003cp\u003e7.2.4 V and W loops 118\u003c\/p\u003e \u003cp\u003e7.3 Key factors to solve EHL problem with multigrid method 119\u003c\/p\u003e \u003cp\u003e7.3.1 Iteration methods 119\u003c\/p\u003e \u003cp\u003e7.3.2 Relaxation factors selection 121\u003c\/p\u003e \u003cp\u003e7.4 Program of EHL in line contact with multigrid method 122\u003c\/p\u003e \u003cp\u003e7.4.1 Specification of program 122\u003c\/p\u003e \u003cp\u003e7.4.2 Calculation program 123\u003c\/p\u003e \u003cp\u003e7.4.3 Example 133\u003c\/p\u003e \u003cp\u003e7.5 Program of EHL in point contact with multigrid method 133\u003c\/p\u003e \u003cp\u003e7.5.1 Specification of the program 133\u003c\/p\u003e \u003cp\u003e7.5.2 Calculation program 134\u003c\/p\u003e \u003cp\u003e7.5.3 Example 143\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Numerical calculation method and program for isothermal EHL in ellipse contact 145\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Basic equation 145\u003c\/p\u003e \u003cp\u003e8.1.1 Reynolds equation 145\u003c\/p\u003e \u003cp\u003e8.1.2 Film thickness equation 146\u003c\/p\u003e \u003cp\u003e8.1.3 Viscosity–pressure equation 146\u003c\/p\u003e \u003cp\u003e8.1.4 Density–pressure equation 147\u003c\/p\u003e \u003cp\u003e8.1.5 Load balancing equation 147\u003c\/p\u003e \u003cp\u003e8.2 Calculation program 148\u003c\/p\u003e \u003cp\u003e8.2.1 Calculation diagram 148\u003c\/p\u003e \u003cp\u003e8.2.2 Calculation program 149\u003c\/p\u003e \u003cp\u003e8.2.3 Example 157\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Numerical calculation method and program of isothermal EHL in elliptical contact with two-dimensional velocities 159\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Basic equations 159\u003c\/p\u003e \u003cp\u003e9.2 Velocity treatment 160\u003c\/p\u003e \u003cp\u003e9.3 Numerical calculation method and program 161\u003c\/p\u003e \u003cp\u003e9.3.1 Flowchart 161\u003c\/p\u003e \u003cp\u003e9.3.2 Program 161\u003c\/p\u003e \u003cp\u003e9.3.3 Example 171\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Numerical calculation method and program for thermal EHL 173\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Basic equations for thermal EHL 173\u003c\/p\u003e \u003cp\u003e10.1.1 Thermal EHL in line contact 173\u003c\/p\u003e \u003cp\u003e10.1.2 TEHL in point contact 176\u003c\/p\u003e \u003cp\u003e10.2 Viscosity and temperature across film thickness 179\u003c\/p\u003e \u003cp\u003e10.2.1 Calculation of fluid velocity field 179\u003c\/p\u003e \u003cp\u003e10.2.2 Continuity equation 181\u003c\/p\u003e \u003cp\u003e10.2.3 Energy equation 182\u003c\/p\u003e \u003cp\u003e10.2.4 Temperature boundary conditions 185\u003c\/p\u003e \u003cp\u003e10.2.5 Calculation of linear equation set 187\u003c\/p\u003e \u003cp\u003e10.2.6 Program to calculate temperature 187\u003c\/p\u003e \u003cp\u003e10.3 Numerical calculation method and program for TEHL in line contact 189\u003c\/p\u003e \u003cp\u003e10.3.1 Flowchart 189\u003c\/p\u003e \u003cp\u003e10.3.2 Program 190\u003c\/p\u003e \u003cp\u003e10.3.3 Example 201\u003c\/p\u003e \u003cp\u003e10.4 Numerical calculation method and program of TEHL in point contact 202\u003c\/p\u003e \u003cp\u003e10.4.1 Flowchart 202\u003c\/p\u003e \u003cp\u003e10.4.2 Calculation program 204\u003c\/p\u003e \u003cp\u003e10.4.3 Example 216\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Numerical calculation method and program of grease EHL 217\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Basic equations of grease EHL 217\u003c\/p\u003e \u003cp\u003e11.2 Numerical calculation and program of isothermal grease EHL 220\u003c\/p\u003e \u003cp\u003e11.2.1 Line contact problem 220\u003c\/p\u003e \u003cp\u003e11.2.2 Point contact problem 231\u003c\/p\u003e \u003cp\u003e11.3 Numerical calculation method and program of thermal GEHL 243\u003c\/p\u003e \u003cp\u003e11.3.1 Line contact problem 243\u003c\/p\u003e \u003cp\u003e11.3.2 Point contact problem 262\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Numerical calculation method and program of EHL considering effect of electric double layer 279\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Structure of electric double layer 279\u003c\/p\u003e \u003cp\u003e12.2 Reynolds equation considering EDL effect 279\u003c\/p\u003e \u003cp\u003e12.2.1 Modified Reynolds equation 279\u003c\/p\u003e \u003cp\u003e12.2.2 Expression of electroviscosity 284\u003c\/p\u003e \u003cp\u003e12.3 Calculation program and example 285\u003c\/p\u003e \u003cp\u003e12.3.1 Calculation program 285\u003c\/p\u003e \u003cp\u003e12.3.2 Example 293\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Numerical calculation method and program of time-dependent EHL in line contact 295\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Time-dependent EHL Reynolds equation 295\u003c\/p\u003e \u003cp\u003e13.1.1 Nondimensional Reynolds equation 295\u003c\/p\u003e \u003cp\u003e13.1.2 Discrete Reynolds equation 296\u003c\/p\u003e \u003cp\u003e13.2 Numerical calculation method and program 296\u003c\/p\u003e \u003cp\u003e13.2.1 Iteration method 296\u003c\/p\u003e \u003cp\u003e13.2.2 Calculation diagram 297\u003c\/p\u003e \u003cp\u003e13.2.3 Calculation program 297\u003c\/p\u003e \u003cp\u003e13.2.4 Example 304\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Numerical calculation method and program of isothermal EHL with rough surface 305\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Film thickness equation with surface roughness 305\u003c\/p\u003e \u003cp\u003e14.2 Calculation of rough surface EHL problem with Newton–Raphson method 306\u003c\/p\u003e \u003cp\u003e14.2.1 Sine roughness 306\u003c\/p\u003e \u003cp\u003e14.2.2 Single depression 311\u003c\/p\u003e \u003cp\u003e14.3 EHL solution with random roughness in line contact 317\u003c\/p\u003e \u003cp\u003e14.3.1 Description of the program 317\u003c\/p\u003e \u003cp\u003e14.3.2 Calculation program 317\u003c\/p\u003e \u003cp\u003e14.3.3 Example 321\u003c\/p\u003e \u003cp\u003e14.4 EHL solution with random roughness in point contact 322\u003c\/p\u003e \u003cp\u003e14.4.1 Description of the program 322\u003c\/p\u003e \u003cp\u003e14.4.2 Calculation program 322\u003c\/p\u003e \u003cp\u003e14.4.3 Example 326\u003c\/p\u003e \u003cp\u003e14.5 Random roughness generation program 328\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Numerical calculation method and program of micropolar fluid EHL 329\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Reynolds equation of micropolar fluid EHL 329\u003c\/p\u003e \u003cp\u003e15.1.1 Basic equations 329\u003c\/p\u003e \u003cp\u003e15.1.2 Reynolds equation 330\u003c\/p\u003e \u003cp\u003e15.2 Calculation program of EHL of micropolar fluid in line contact 334\u003c\/p\u003e \u003cp\u003e15.2.1 Description of the program 334\u003c\/p\u003e \u003cp\u003e15.2.2 Calculation program 334\u003c\/p\u003e \u003cp\u003e15.2.3 Example 338\u003c\/p\u003e \u003cp\u003e15.3 Calculation program of EHL with micropolar fluid in point contact 339\u003c\/p\u003e \u003cp\u003e15.3.1 Calculation program 339\u003c\/p\u003e \u003cp\u003e15.3.2 Example 343\u003c\/p\u003e \u003cp\u003eReferences 345\u003c\/p\u003e \u003cp\u003eIndex 000\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49528841306455,"sku":"9781118920961","price":120.6,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118920961.jpg?v=1731873232","url":"https:\/\/bookcurl.com\/products\/numerical-calculation-of-elastohydrodynamic-lubrication-9781118920961","provider":"Book Curl","version":"1.0","type":"link"}