Most cited papers in Heat Transfer and Mathematical Modeling
What are the most cited papers in Heat Transfer and Mathematical Modeling?
The most cited paper in Heat Transfer and Mathematical Modeling is "Perturbation Methods" (A. H. Nayfeh, Vimal Singh, 1978), with 4,699 citations. Next come "Simple microfluids" (1,239) and "Canonical transformations depending on a small parameter" (1,005).
Showing 50 of 100 papers. Every paper with more than 59 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Perturbation Methods A. H. Nayfeh, Vimal Singh · IEEE Transactions on Systems Man and Cybernetics | May 1978 | 4,699 |
| 2 | Simple microfluids A. Cemal Eringen · International Journal of Engineering Science | May 1964 | 1,239 |
| 3 | Canonical transformations depending on a small parameter Andr� Deprit · Celestial Mechanics and Dynamical Astronomy | Mar 1969 | 1,005 |
| 4 | Stress Distribution in Bonded Dissimilar Materials With Cracks F. Erdoğan · Journal of Applied Mechanics | Jun 1965 | 648 |
| 5 | Dynamic Problems of Thermoelasticity Witold Nowacki, P. H. Francis, R. B. Hetnarski et al. · Journal of Applied Mechanics | Jun 1977 | 645 |
| 6 | Structural eigenvalue problems - elimination of unwanted variables Bruce M. Irons · AIAA Journal | May 1965 | 385 |
| 7 | Solution of boundary-value problems by orthogonal collocation John V. Villadsen, W. E. Stewart · Chemical Engineering Science | Dec 1995 | 376 |
| 8 | On heat conduction in materials with memory Jace W. Nunziato · Quarterly of Applied Mathematics | Jul 1971 | 372 |
| 9 | Solution of an inverse problem of heat conduction by iteration methods О. М. Алифанов · Journal of Engineering Physics and Thermophysics | Apr 1974 | 297 |
| 10 | Modeling and vibration control of a flexible aerial refueling hose with variable lengths and input constraint Zhijie Liu, Jinkun Liu, Wei He · Automatica | 16 Jan 2017 | 284 |
| 11 | On conjugated problems of heat transfer T. L. Perel'man · International Journal of Heat and Mass Transfer | Dec 1961 | 241 |
| 12 | A Nonsteady Heat Diffusion Problem with Spherical Symmetry M. S. Plesset, S. A. Zwick · Journal of Applied Physics | 1952 | 235 |
| 13 | A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace’s Equation Michael V. Klibanov, Fadil Santosa · SIAM Journal on Applied Mathematics | Dec 1991 | 212 |
| 14 | 3 Singular Extremals HenryJ. Kelley, R. E. Kopp, H. GARDNER MOYER · Mathematics in Science and Engineering/Mathematics in science and engineering | 1967 | 200 |
| 15 | Principles of control thermodynamics Peter B. Salamon, James Nulton, Gino Siragusa et al. · Energy | Mar 2001 | 186 |
| 16 | The effect of loading path on the yield surface at elevated temperatures Aris Phillips, Tang Juh-Ling · International Journal of Solids and Structures | Apr 1972 | 177 |
| 17 | On the convergence of the finite element method for problems with singularity Tong Pin, T. H. H. Pian · International Journal of Solids and Structures | Mar 1973 | 175 |
| 18 | Analysis of Shells of Revolution Subjected to Symmetrical and Nonsymmetrical Loads A. Kalnins · Journal of Applied Mechanics | Sep 1964 | 170 |
| 19 | STATE SPACE AFPROACH TO THERMOELASTICITY Leon Y. Bahar, Richard B. Hetnarski · Journal of Thermal Stresses | Jul 1978 | 166 |
| 20 | The Safety Factor of an Elastic-Plastic Body in Plane Strain Daniel C. Drucker, Harvey J. Greenberg, William Prager · Journal of Applied Mechanics | Dec 1951 | 158 |
| 21 | TWO METHODS FOR THE NUMERICAL SOLUTION OF MOVING-BOUNDARY PROBLEMS IN DIFFUSION AND HEAT FLOW Joe N. Crank · The Quarterly Journal of Mechanics and Applied Mathematics | 1957 | 154 |
| 22 | A problem for an infinite elastic body with a spherical cavity in the theory of generalized thermoelastic diffusion Moncef Aouadi · International Journal of Solids and Structures | 26 Jan 2007 | 148 |
| 23 | Incremental plastic analysis in the presence of large displacements and physical instabilizing effects G. Maier · International Journal of Solids and Structures | Apr 1971 | 136 |
| 24 | A coupled analysis of viscoplastic deformation and heat transfer—I Luís Paulo N. Rebelo, Shiro Kobayashi · International Journal of Mechanical Sciences | 1980 | 133 |
| 25 | Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane Yuri L. Sachkov · ESAIM Control Optimisation and Calculus of Variations | 23 Mar 2010 | 133 |
| 26 | Reflection of thermoelastic waves at a solid half-space with thermal relaxation. Apurva Sinha, Sukanta Sinha · Journal of Physics of the Earth | 1974 | 127 |
| 27 | On optimality conditions in nondifferentiable programming Jean‐Baptiste Hiriart‐Urruty · Mathematical Programming | Dec 1978 | 127 |
| 28 | On the finite deflections of thin beams John T. Holden · International Journal of Solids and Structures | Aug 1972 | 125 |
| 29 | Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity Jeyabal Sivaloganathan · Archive for Rational Mechanics and Analysis | Jun 1986 | 123 |
| 30 | STRESS-STRAIN RELATIONS IN PLASTICITY AND THERMOPLASTICITY P. M. Naghdi · Elsevier eBooks | 1960 | 122 |
| 31 | ONE-DIMENSIONAL WAVE PROPAGATION IN THE LINEAR THEORY OF THERMOELASTICITY WITHOUT ENERGY DISSIPATION D. S. Chandrasekharaiah · Journal of Thermal Stresses | Nov 1996 | 119 |
| 32 | Modeling and Simulation of Hose-Paradrogue Aerial Refueling Systems Kapseong Ro, James W. Kamman · Journal of Guidance Control and Dynamics | 31 Dec 2009 | 119 |
| 33 | A UNIQUENESS THEOREM IN THE THEORY OF THERMOELASTICITY WITHOUT ENERGY DISSIPATION D. S. Chandrasekharaiah · Journal of Thermal Stresses | Apr 1996 | 114 |
| 34 | Optimal approximation of linear systems Leonard M. Silverman, Maâmar Bettayeb · IEEE Transactions on Automatic Control | 1980 | 112 |
| 35 | Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid V.I. Iudovich · Journal of Applied Mathematics and Mechanics | 1965 | 109 |
| 36 | Vibration Control for Spatial Aerial Refueling Hoses With Bounded Actuators Zhijie Liu, Xiuyu He, Zhijia Zhao et al. · IEEE Transactions on Industrial Electronics | 9 Apr 2020 | 108 |
| 37 | A finite element approximation for the analysis of thin shells Ray W. Clough, Chloe Johnson · International Journal of Solids and Structures | 1968 | 108 |
| 38 | Analytical solution of thermoelastic interaction in a half-space by pulsed laser heating Ibrahim Atiatallah Abbas, Marín Marín · Physica E Low-dimensional Systems and Nanostructures | 4 Nov 2016 | 106 |
| 39 | A note on the uniqueness of solution in the linear theory of thermoelasticity without energy dissipation D. S. Chandrasekharaiah · Journal of Elasticity | Jun 1996 | 106 |
| 40 | On the Existence of Subsonic Flows of a Compressible Fluid Max Shiffman · Indiana University Mathematics Journal | 1952 | 102 |
| 41 | A numerical solution of two-dimensional problems involving heat and mass transfer G. Comini, R. W. Lewis · International Journal of Heat and Mass Transfer | Dec 1976 | 102 |
| 42 | Computational Fluid Dynamics: An Introduction Clive Fletcher | 1988 | 100 |
| 43 | Uniqueness and existence for the geodetic boundary value problem using the known surface of the earth Karl-Rudolf Koch, Allen Pope · Bulletin Géodésique | Dec 1972 | 98 |
| 44 | The optimal recovery of smooth functions Charles A. Micchelli, Theodore J. Rivlin, Samuel Winograd · Numerische Mathematik | Jun 1976 | 97 |
| 45 | Back-stepping based anti-disturbance flight controller with preview methodology for autonomous aerial refueling Zikang Su, Honglun Wang, Peng Yao et al. · Aerospace Science and Technology | Dec 2016 | 96 |
| 46 | Dynamical Systems Method for Solving Operator Equations Ramm, A. G. (Alexander G.) | 2004 | 95 |
| 47 | Thermoelastic Interactions without Energy Dissipation Due to a Point Heat Source D. S. Chandrasekharaiah, K.S. Srinath · Journal of Elasticity | Feb 1998 | 95 |
| 48 | Laminated Transversely Isotropic Cylindrical Shells J.A. Zukas, Jack R. Vinson · Journal of Applied Mechanics | Jun 1971 | 95 |
| 49 | A formulation of the boundary element method for axisymmetric transient heat conduction Luiz Carlos Wrobel, C. A. Brebbia · International Journal of Heat and Mass Transfer | May 1981 | 94 |
| 50 | Stability and Regularization of Vector Problems of Integer Linear Programming Vladimir Alekseevich Emelichev, Eberhard Girlich, Yu. Nikulin et al. · Optimization | Jun 2002 | 87 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.