Material derivative

en

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Material derivative

Quality:

Material derivative - time rate of change of a physical quantity in a moving medium. Article “Material derivative” in English Wikipedia has 30.7 points for quality (as of July 1, 2025). The article contains 18 references and 8 sections.

This article has the best quality in Chinese Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Material derivative”, its content was written by 82 registered users of English Wikipedia and edited by 236 registered Wikipedia users in all languages.

The article is cited 100 times in English Wikipedia and cited 270 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #28911 in September 2004
  • Global: #49693 in May 2012

The highest popularity rank from 2008:

  • Local (English): #123549 in October 2014
  • Global: #163424 in October 2014

There are 17 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Chinese (zh)
物質導數
35.5299
2English (en)
Material derivative
30.6587
3Spanish (es)
Derivada material
25.992
4Vietnamese (vi)
Đạo hàm hữu hình
25.6179
5Czech (cs)
Materiálová derivace
24.0114
6Estonian (et)
Materiaalne tuletis
19.5392
7Portuguese (pt)
Derivada material
18.9702
8Japanese (ja)
物質微分
18.448
9German (de)
Substantielle Ableitung
17.9115
10Danish (da)
Materielt afledte
12.2971
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Material derivative" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Material derivative
1 094 467
2German (de)
Substantielle Ableitung
149 442
3Italian (it)
Derivata materiale
131 305
4Japanese (ja)
物質微分
109 371
5Polish (pl)
Operator Stokesa
57 211
6Russian (ru)
Производная Лагранжа
51 374
7Spanish (es)
Derivada material
41 085
8Portuguese (pt)
Derivada material
40 158
9Chinese (zh)
物質導數
10 096
10Hebrew (he)
נגזרת חומרית
6 176
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Material derivative" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Material derivative
3 844
2Japanese (ja)
物質微分
454
3German (de)
Substantielle Ableitung
397
4Italian (it)
Derivata materiale
385
5Chinese (zh)
物質導數
256
6Spanish (es)
Derivada material
204
7Russian (ru)
Производная Лагранжа
193
8Polish (pl)
Operator Stokesa
90
9Portuguese (pt)
Derivada material
87
10Hebrew (he)
נגזרת חומרית
26
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Material derivative" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Material derivative
82
2Italian (it)
Derivata materiale
36
3German (de)
Substantielle Ableitung
33
4Russian (ru)
Производная Лагранжа
18
5Polish (pl)
Operator Stokesa
16
6Hebrew (he)
נגזרת חומרית
10
7Japanese (ja)
物質微分
6
8Portuguese (pt)
Derivada material
6
9Vietnamese (vi)
Đạo hàm hữu hình
5
10Chinese (zh)
物質導數
5
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Material derivative" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Russian (ru)
Производная Лагранжа
2
2Czech (cs)
Materiálová derivace
0
3Danish (da)
Materielt afledte
0
4German (de)
Substantielle Ableitung
0
5English (en)
Material derivative
0
6Spanish (es)
Derivada material
0
7Estonian (et)
Materiaalne tuletis
0
8Persian (fa)
مشتق ماده
0
9Finnish (fi)
Materiaaliderivaatta
0
10Hebrew (he)
נגזרת חומרית
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Material derivative" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Material derivative
100
2German (de)
Substantielle Ableitung
29
3Spanish (es)
Derivada material
26
4Italian (it)
Derivata materiale
25
5Japanese (ja)
物質微分
20
6Chinese (zh)
物質導數
17
7Portuguese (pt)
Derivada material
13
8Russian (ru)
Производная Лагранжа
12
9Polish (pl)
Operator Stokesa
10
10Hebrew (he)
נגזרת חומרית
9
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
csCzech
Materiálová derivace
daDanish
Materielt afledte
deGerman
Substantielle Ableitung
enEnglish
Material derivative
esSpanish
Derivada material
etEstonian
Materiaalne tuletis
faPersian
مشتق ماده
fiFinnish
Materiaaliderivaatta
heHebrew
נגזרת חומרית
itItalian
Derivata materiale
jaJapanese
物質微分
nlDutch
Materiële afgeleide
plPolish
Operator Stokesa
ptPortuguese
Derivada material
ruRussian
Производная Лагранжа
viVietnamese
Đạo hàm hữu hình
zhChinese
物質導數

Popularity rank trends

Best Rank English:
#123549
10.2014
Global:
#163424
10.2014

AI rank trends

Best Rank English:
#28911
09.2004
Global:
#49693
05.2012

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Material derivative from Wikipedia articles about Navier–Stokes equations, Euler equations, Lagrangian and Eulerian specification of the flow field, Cauchy momentum equation and Total derivative. Whereas reading the article about Material derivative people most often go to Wikipedia articles on Covariant derivative, Continuum mechanics, Total derivative, Navier–Stokes equations and Flow velocity.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 28 January 2026

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In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information