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Heat Transfer and Numerical Methods

Heat Transfer and Numerical Methods is a research topic within Computational Mechanics. Science Explorer counts 4.6k research works in it since 1950. 10.4% of them reached the world's top 10% most cited for their field and year.

This cluster of papers covers the fundamentals of heat transfer, numerical methods for thermal analysis, and applications of network simulation method in solving heat and solute transport problems. It also includes topics related to fluid mechanics, finite element analysis, conduction heat transfer, thermal insulation, and heat sink design.

  • Heat Transfer
  • Numerical Methods
  • Fluid Mechanics
  • Thermal Analysis
  • Network Simulation Method
  • Finite Element Analysis
  • Conduction Heat Transfer
  • Thermal Insulation
  • Heat Sink Design
  • Solute Transport
Research works
4.6k
fractional, since 1950
In the world top 10%
475
per year above
Top-10% rate
10.4%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+44%
the tick is no change
Largest producer
United States
24% of the 10 largest, 2022-now
Heat Transfer and Numerical Methods

Which countries lead Heat Transfer and Numerical Methods research?

By volume, the United States and Indonesia publish the most (180 and 164 works in 2022-now).

By volume, 2022-now

  1. 1 United States 180 works
  2. 2 Indonesia 164 works
  3. 3 China 129 works
  4. 4 India 78 works
  5. 5 Germany 48 works
  6. 6 Russia 48 works
  7. 7 Türkiye 30 works
  8. 8 ?? 28 works
  9. 9 United Kingdom 28 works
  10. 10 Japan 27 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

United States: 23.6%Indonesia: 21.6%China: 16.9%India: 10.2%6 others listed: 27.7%24%largest
United States180 · 23.6%Indonesia164 · 21.6%China129 · 16.9%India78 · 10.2%6 others listed211 · 27.7%

Shares of the rows listed above, not of the whole node.

Which institutions lead Heat Transfer and Numerical Methods research?

By volume in 2022-now, Politeknik Energi dan Mineral Akamigas publishes the most Heat Transfer and Numerical Methods research, followed by University of Montana and Ostim Technical University.

Who are the leading researchers in Heat Transfer and Numerical Methods?

The most-cited researchers publishing on Heat Transfer and Numerical Methods include Richard A. Gibbs.

  1. 1 Richard A. Gibbs United States 292k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

What are the most cited papers in Heat Transfer and Numerical Methods?

The most cited paper in Heat Transfer and Numerical Methods is "Table of Integrals, Series, and Products" (I. S. Gradshteyn, I.M. RYZHIK, D. F. Hays, 1976), with 4,749 citations. Next come "Mathematical Handbook for Scientists and Engineers" (2,038) and "On the approximate calculation of multiple integrals" (1,270).

Most cited papers
#PaperReleasedCitations
1 Table of Integrals, Series, and Products I. S. Gradshteyn, I.M. RYZHIK, D. F. Hays · Journal of Lubrication Technology Open access Jul 1976 4,749
2 Mathematical Handbook for Scientists and Engineers J. Ernest Wilkins · Nuclear Science and Engineering Jun 1962 2,038
3 On the approximate calculation of multiple integrals Nikolai Sergeevich Bakhvalov · Journal of Complexity Open access 2 Feb 2015 1,270
4 Optimization Theory of Large Systems Leon S. Lasdon, Daniel Tabak · IEEE Transactions on Systems Man and Cybernetics Jul 1971 1,237
5 Experimental design and optimization Torbjörn Lundstedt, Elisabeth Seifert, Lisbeth Abramo et al. · Chemometrics and Intelligent Laboratory Systems Aug 1998 1,173
All 100 most cited papers, with filters and sorting

Where is Heat Transfer and Numerical Methods research done?

The largest centres of Heat Transfer and Numerical Methods research in 2022-now are Beijing (China), Jakarta (Indonesia), Moscow (Russia) and Ankara (Türkiye).

Largest cities, 2022-now

  1. 1 BeijingChina 28 works
  2. 2 JakartaIndonesia 24 works
  3. 3 MoscowRussia 16 works
  4. 4 AnkaraTürkiye 13 works
  5. 5 MalangIndonesia 12 works
  6. 6 Cepu 12 works
  7. 7 MissoulaUnited States 12 works
  8. 8 SurabayaIndonesia 10 works
  9. 9 ShanghaiChina 9 works
  10. 10 LondonUnited Kingdom 9 works
See Heat Transfer and Numerical Methods on the map

Where is the best place to study Heat Transfer and Numerical Methods?

Among universities, judged by research, Ostim Technical University, University of Montana and Politeknik Energi dan Mineral Akamigas score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%2.5%5%mean 2.35%fractional works in this field (log) →share of work in the world top 10% →Ostim Technical Univ…State University of …University of MontanaPoliteknik Energi da…
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1Ostim Technical UniversityTürkiye 86.75.9%431.3×11 -
2University of MontanaUnited States 59.90.9%132.6×12 -
3Politeknik Energi dan Mineral Akamigas 45.00.0%570.6×12 -
4State University of MalangIndonesia 36.52.6%9.2×8 +71.4%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Heat Transfer and Numerical Methods, country by country

Is Heat Transfer and Numerical Methods research growing?

Output in 2022-2025 was 44% higher than in 2018-2021, peaking in 2026. The fastest-growing topics are Heat Transfer and Numerical Methods.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Heat Transfer and Numerical Methods as a percentage of every work published that year, 0.0028% in 2024.

still counting0.010%0.020%Heat Transfer and Numerical Methods0.0055% in 202519801990200020102020

Fractional works of Heat Transfer and Numerical Methods over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Heat Transfer and Numerical Methods10.4% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

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