scholarly journals Newton’s Law of Cooling with Generalized Conformable Derivatives

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1093
Author(s):  
Miguel Vivas-Cortez ◽  
Alberto Fleitas ◽  
Paulo M. Guzmán ◽  
Juan E. Nápoles ◽  
Juan J. Rosales
Keyword(s):  
Inverse Problem ◽  
Differential Operator ◽  
Analytical Solution ◽  
Temperature Data ◽  
Newton's Law ◽  
Newton’S Law ◽  
Conformable Derivatives ◽  
Real Temperature ◽  
Parameters Of Interest ◽  
Made In

In this communication, using a generalized conformable differential operator, a simulation of the well-known Newton’s law of cooling is made. In particular, we use the conformable t1−α, e(1−α)t and non-conformable t−α kernels. The analytical solution for each kernel is given in terms of the conformable order derivative 0<α≤1. Then, the method for inverse problem solving, using Bayesian estimation with real temperature data to calculate the parameters of interest, is applied. It is shown that these conformable approaches have an advantage with respect to ordinary derivatives.

scholarly journals Comfort assessment in an office building in Budapest, Hungary

2019 ◽  
Vol 111 ◽  
pp. 06037
Author(s):  
Zoltan Magyar
Keyword(s):  
Air Temperature ◽  
Temperature Data ◽  
Temperature Measurements ◽  
Office Building ◽  
Energy Audit ◽  
Operational Information ◽  
Occupant Comfort ◽  
Comfort Parameters ◽  
Real Temperature ◽  
Made In

A historical office building was refurbished in Budapest a few years ago. An energy audit was made in the renovated building. During the energy audit a comfort questionnaire was prepared in order to assess the occupants’ opinion about comfort parameters. The questionnaire was filled out by 65 employees. Using the questionnaire the occupant opinion on comfort conditions, as well as operational information and complaints can be gathered. During the energy audit the air temperature was measured by dataloggers in different places to collect real temperature data. The paper presents the developed comfort questionnaire, the results of the occupant comfort survey and the temperature measurements and how these can be considered during the elaboration of recommended interventions.

scholarly journals THE FIELD EQUATION FROM NEWTON'S LAW OF MOTION AND THE ABSENCE OF MAGNETIC MONOPOLE

2001 ◽  
Vol 16 (07) ◽  
pp. 1237-1247 ◽  
Author(s):  
PARAMPREET SINGH ◽  
NARESH DADHICH
Keyword(s):  
Field Equation ◽  
Differential Operator ◽  
Magnetic Monopole ◽  
Linear Differential Operator ◽  
Magnetic Monopoles ◽  
Classical Electrodynamics ◽  
Newton's Law ◽  
Newton’S Law ◽  
Newton’S Law Of Motion ◽  
Linear Differential

By requiring the linear differential operator in Newton's law of motion to be self adjoint, we obtain the field equation for the linear theory, which is the classical electrodynamics. In the process, we are also led to a fundamental universal chiral relation between electric and magnetic monopoles which implies that the two are related. Thus there could just exist only one kind of charge which is conventionally called electric.

scholarly journals Reverse Task of Heat Conductivity for the Semilimited Bar

2019 ◽  
pp. 27-31
Author(s):  
O. Shevchenko
Keyword(s):  
Thermal Conductivity ◽  
Inverse Problem ◽  
Heat Exchange ◽  
Boundary Conditions ◽  
Heat Conductivity ◽  
Algebraic Equations ◽  
Newton's Law ◽  
Newton’S Law ◽  
Solid Bodies

The article concerns methods and formulas for the calculation of the coefficient of thermal conductivity of solid bodies using the known solutions of direct thermal conductivity tasks. The solution to the inverse problem of heat conductivity is based on the quite complicated methods including both hyperbolic functions and finite-difference methods. Under certain experimental conditions, the task is simplified at the regular thermal modes of 1, 2, or 3 types. Thus final formulas are simplified to algebraic equations. The simplification of the inverse problem of heat conductivity to algebraic equations is possible using other approaches. These me­thods are based on the analysis of the reference points, zero values of temperature distribution function, function inflection points, and its first and second derivatives. Here, we present formulas for the calculations of the temperature field on the assumption of the direct task solution for the half-bounded bar under the pulsed heating followed the re-definition of the boundary conditions. The article describes two methods in which solutions are reduced to simple algebraic formulas when using the specified points on hea­ting thermograms of test examples. These solutions allow algebraic deriving of simple relations for inverse problems of determination of thermophysical characteristics of solid bodies. The calculation formulas are given for the determination of the heat conductivity coefficient determination by two methods: by value of temperature, coordinate, and two moments at which this temperature is reached. The second method uses the values of two coordinates of the test sample in two different points where the equal temperature is reached at different points in time. The final solution of the equation is logarithmic. The analysis of known methods and techniques shows that experimental methods are oriented on the technical implementation and based on facilities of available equipment and instruments. Existing experimental techniques are based on specific constructions of measuring facilities. Simultaneously, there are well-studied methods of solution of thermal conductivity standard tasks set out in fundamental issues. The theoretical methods come from axioms, equations, and theoretical postulates, and they give the solution of inverse tasks of thermal conductivity. This work uses the solutions of direct tasks presented in the monograph by A.V.Lykov “The theory of heat conductivity”. These solutions have a good theoretical background and experts’ credit. The boundary conditions of the problem are next: the half-bounded thin bar is given. The side surface of the bar has a thermal insulation. At the initial moment, the instant heat source acts on the bar in its section at some distance from its end. Heat exchange occurs between the environment and the end of the bar according to Newton’s law. The initial (relative) temperature of the bar is accepted equal to zero. The heat exchange between the free end face of the bar and the environment is gone according to Newton’s law.

Study of Kynematics and Dynamics in the Traffic of Rembangan Tourism in the Jember Regency as Learning Resources for Physics Learning in the Senior High School

2018 ◽  
Vol 7 (1) ◽  
Author(s):  
Alfido Fauzy Zakaria ◽  
Bambang Supriadi ◽  
Trapsilo Prihandono
Keyword(s):  
High School ◽  
School Teacher ◽  
High School Teacher ◽  
Senior High School ◽  
Circular Motion ◽  
Rectilinear Motion ◽  
Learning Resources ◽  
Physics Learning ◽  
Newton's Law ◽  
Newton’S Law

One branch of physics is mechanics. Based on interviews to Senior High School teacher in Jember, mechanics is difficult to learn. The eksternals factor this chapter is dificult to learn is learning Resources. The learning Resources are often less contextuall with around the phenomenon of students. The contextuall learning Resources in the Jember Regency is study of kynematics and dynamics in the traffic of Rembangan Tourism. From this experiment, we get data can be used as a learning resources chapter uniform rectilinear motion, decelerated uniform rectilinear motion, accelerated uniform rectilinear motion, Newton’s Law, and circular motion.

Analytical solution of the PELDOR inverse problem using the integral Mellin transform

2017 ◽  
Vol 19 (48) ◽  
pp. 32381-32388 ◽  
Author(s):  
Anna G. Matveeva ◽  
Vyacheslav M. Nekrasov ◽  
Alexander G. Maryasov
Keyword(s):  
Inverse Problem ◽  
Distribution Function ◽  
Analytical Solution ◽  
Short Distance ◽  
Mellin Transform ◽  
Distance Distribution ◽  
Distance Distribution Function ◽  
Distance Range ◽  
Model Free ◽  
Model Free Approach

The model-free approach used does not introduce systematic distortions in the computed distance distribution function between two spins and appears to result in noise grouping in the short distance range.

scholarly journals Non-standard compactifications with mass gaps and Newton's law

1999 ◽  
Vol 1999 (10) ◽  
pp. 013-013 ◽  
Author(s):  
Andreas Brandhuber ◽  
Konstadinos Sfetsos
Keyword(s):  
Newton's Law ◽  
Newton’S Law

A Transient Formulation of Newton's Cooling Law for Spherical Bodies

2000 ◽  
Vol 123 (1) ◽  
pp. 63-64 ◽  
Author(s):  
S. S. Sazhin ◽  
V. A. Gol'dshtein ◽  
M. R. Heikal
Keyword(s):  
Thermal Conductivity ◽  
Heat Flux ◽  
Diesel Engine ◽  
Effective Thermal Conductivity ◽  
Spherical Body ◽  
Fuel Droplet ◽  
Transient Effects ◽  
Newton's Law ◽  
Initial Stage ◽  
Newton’S Law

Newton's law of cooling is shown to underestimate the heat flux between a spherical body (droplet) and a homogeneous gas after this body is suddenly immersed into the gas. This problem is rectified by replacing the gas thermal conductivity by the effective thermal conductivity. The latter reduces to the gas thermal conductivity in the limit of t→∞, but can be substantially higher in the limit of t→0. In the case of fuel droplet heating in a medium duty truck Diesel engine the gas thermal conductivity may need to be increased by more than 100 percent at the initial stage of calculations to account for transient effects during the process of droplet heating.

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