Optimal Solution of Differential Equations for Heat Conduction in Infinitely Large Flat Wall Models
Journal Title: International Journal of Applied Science and Mathematics - Year 2018, Vol 5, Issue 6
Abstract
Thermal protective clothing in high temperature environment is usually composed of multiple layers of insulation materials. It is of great significance to study the establishment of thermal conductivity model of multilayer protective clothing and the optimal solution of thickness. In this paper, based on the infinite large-wall heat conduction model, the Fourier heat conduction law is transformed to derive the heat conduction differential equation, and the segmented partition analysis method is adopted for the established combined model. The multi-layer infinitely large flat-wall heat conduction model in solids and the theoretical model of convective heat transfer in gas are respectively established and combined into a change function of tempera- -ture and distance at a single moment. Temperature-based logistic regression was performed using MATLAB based on available time and skin surface temperature statistics. Combined with two independent variables affecting the time and distance of temperature, the analytical solution of the "high temperature environment-clothing-air layer-skin" heat conduction partial differential model is solved.
Authors and Affiliations
Weijian Mao, et al.
Keywords
Related Articles
- EP ID EP505790
- DOI -
- Views 80
- Downloads 0
Evaluating Sine and Cosine Type Integrals
In this article, the integrals ∫_0^∞▒(sin x)/x^p dx and ∫_0^∞▒(cos x)/x^p dx are evaluated by using Laplace transform method different from the previous methods where 0<p<1.
Application of the Second Kind Chebyshev Polynomials to Coefficient Estimates of Certain Class Analytic Functions
In this work, making the second kind Chebyshev polynomials, we introduce and investigate new subclasses of analytic functions on the open unit disk in the complex plane. We obtain upper bound estimates for the initial th...
Joint Measurability of Unbiased Observables of a Qubit
Given two pieces of classical information obtained via measurements of two observables there exist many joint probability distributions with these two pieces of classical information as marginal distributions. If there e...
Gravitation - Flat Power Field
A new principle of origin and the nature of the action of gravity forces are proposed. Forces of universal attraction have plane-symmetrical directions. On this basis, it becomes possible to reconsider certain regulariti...
Optimal Solution of Differential Equations for Heat Conduction in Infinitely Large Flat Wall Models
Thermal protective clothing in high temperature environment is usually composed of multiple layers of insulation materials. It is of great significance to study the establishment of thermal conductivity model of multilay...