# A Hidden Anomaly in the Binary Mixture Natural Convection Subject to Flux Boundary Conditions

## Abstract

**:**

## 1. Introduction

## 2. Problem Formulation

## 3. Method of Solution and Results for Positive Thermo-Diffusion Coefficient

## 4. Method of Solution and Results for Mass Fraction Dependent and Possibly Negative Thermo-Diffusion Coefficient

## 5. Conclusions

## Funding

## Data Availability Statement

## Conflicts of Interest

## References

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**Figure 1.**A vertical tall, fluid layer consisting of a binary mixture, heated by a constant heat flux ${q}_{o}>0$ on one side and exposed to a constant low temperature on the other side.

**Figure 2.**Graphical profile of the solution for (

**a**) the basic temperature and (

**b**) the basic mass fraction.

**Figure 4.**Qualitative description of the mass-fraction-dependent thermodiffusion coefficient, including negative values.

**Figure 5.**Graphical profile of the solution for the basic mass fraction for different Soret numbers.

**Figure 6.**Graphical profiles of the velocity solution $w$ for ${C}_{Z}=0.2$ and different Soret numbers: (

**a**) ${R}_{TC}=1$, (

**b**): ${R}_{TC}=10$, and (

**c**) ${R}_{TC}=100$.

**Figure 7.**Graphical profiles of the velocity solution $w$ for ${C}_{Z}=0.2$ and different values of ${R}_{TC}$: (

**a**) $So=0.1$, (

**b**) $So=1$, (

**c**) $So=10$, and (

**d**) $So=100$.

**Figure 8.**The variation of the location of the non-boundary zeros of the velocity $w$ with the Soret number $So$.

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**MDPI and ACS Style**

Vadasz, P. A Hidden Anomaly in the Binary Mixture Natural Convection Subject to Flux Boundary Conditions. *Physics* **2021**, *3*, 144-159.
https://doi.org/10.3390/physics3010012

**AMA Style**

Vadasz P. A Hidden Anomaly in the Binary Mixture Natural Convection Subject to Flux Boundary Conditions. *Physics*. 2021; 3(1):144-159.
https://doi.org/10.3390/physics3010012

**Chicago/Turabian Style**

Vadasz, Peter. 2021. "A Hidden Anomaly in the Binary Mixture Natural Convection Subject to Flux Boundary Conditions" *Physics* 3, no. 1: 144-159.
https://doi.org/10.3390/physics3010012