Conformable derivative applied to experimental Newton’s law of cooling



Document title: Conformable derivative applied to experimental Newton’s law of cooling
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000439047
ISSN: 0035-001X
Authors: 1
1
1
Institutions: 1Universidad de Guanajuato, Salamanca, Guanajuato. México
Year:
Season: Mar-Abr
Volumen: 66
Number: 2
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract It has been proved that the integer order differential equation does not represent the real behaviour of nature for Newton’s law of cooling. Then, we solve Newton’s cooling law using the conformable derivative; as a result, we obtain the Kohlrausch stretched exponential function. Due to the free parameter 0 < γ ≤1, we can fit this function with the graph of the experimental data set. It is shown that the experimental data coincide with those theoretical when γ =0.77269 and k =0.018765
Disciplines: Física y astronomía
Keyword: Dinámica de fluidos,
Ley de Newton de enfriamiento,
Cálculo práctico
Keyword: Derivada conformable,
Fluid dynamics,
Newton law of cooling,
Practional calculus,
Conformable derivative
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