# To the Theory of Unsteady Thermal Conductivity Caused by the Hot Core of the Earth

## Abstract

**:**

## 1. Introduction

## 2. Methods. Solving the Equation (2)

## 3. Results

#### Assessment of the Time of the “Life” of the Earth

^{2}/s, $R=6.4\cdot {10}^{8}$ cm, ${r}_{N}~1000$ km $={10}^{8}$ cm, $c=3\cdot {10}^{10}$ cm/s, $\sigma \approx {10}^{-15}$ SGS, ${T}_{N}=5000$ K, $\kappa =3\cdot {10}^{19}$1/cm·s, $\langle T\rangle \sim {T}_{0}~300$ K $~4\cdot {10}^{-14}$ erg.

## 4. Discussion

## 5. Conclusions

- An analytical description of the distribution of temperature by Earth volume, caused by thermal radiation of the hot core, is proposed.
- The distribution of temperature by Earth volume, in the form of a function from the radial coordinate $r$ and the moment of time $t$, was found.
- A numerical estimate is made of the upper limit of the Earth’s “life” time, which, according to the above result, may correspond to about sixteen billion years.

## Funding

## Conflicts of Interest

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Gladkov, S.O.
To the Theory of Unsteady Thermal Conductivity Caused by the Hot Core of the Earth. *Inventions* **2021**, *6*, 90.
https://doi.org/10.3390/inventions6040090

**AMA Style**

Gladkov SO.
To the Theory of Unsteady Thermal Conductivity Caused by the Hot Core of the Earth. *Inventions*. 2021; 6(4):90.
https://doi.org/10.3390/inventions6040090

**Chicago/Turabian Style**

Gladkov, Sergey O.
2021. "To the Theory of Unsteady Thermal Conductivity Caused by the Hot Core of the Earth" *Inventions* 6, no. 4: 90.
https://doi.org/10.3390/inventions6040090