# Heat Transfer and Entropy in a Vertical Porous Plate Subjected to Suction Velocity and MHD

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## Abstract

**:**

## 1. Introduction

## 2. Methodology

_{o}is the constant suction velocity normal to the plate.

#### 2.1. Entropy Generation

#### 2.2. Numerical Scheme

^{−5}. The results are compared to available data to ascertain the accuracy of the current methodology. The comparison is shown in Figure 2 and Figure 3, which clearly demonstrates the accuracy of the present method.

## 3. Results and Discussion

#### 3.1. Velocity and Temperature Profile

_{f}), and viscous dissipation parameter (D) are shown in Figure 9, Figure 10 and Figure 11. These three parameters have a negligible impact on the velocity profile in the porous medium.

#### 3.2. Entropy Generation

## 4. Conclusions

- The velocity profile is affected, to a greater extent, by the Prandtl number, Grashof number, radiation parameter, magnetic parameter, and permeability parameter, whereas the impact of the Eckert number, form-drag coefficient, and viscous dissipation parameter is significantly less.
- The velocity profile decreases owing to the Prandtl number and magnetic parameter. However, a reverse trend is observed with respect to the radiation parameter, permeability parameter, and Grashof number.
- The temperature profile decreases with increasing Prandtl number, whereas it increases with increase in the radiation parameter.
- The entropy generation increases with an increase in the Reynold’s number, Brinkman number, and radiation parameter
- The fluid entropy dominates compared to thermal and magnetic entropy.
- The fluid and thermal entropy sharply decrease near the vertical plate, whereas magnetic entropy produces a different profile than the fluid and thermal entropy.

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

## Nomenclature

B_{o} | magnetic intensity |

${c}_{f}$ | form-drag constant |

g | gravitational acceleration |

G | modified Grashof number |

k | thermal conductivity |

k* | mean absorption coefficient |

K | permeability parameter |

${K}^{\prime}$ | Permeability of porous medium |

L | length |

N | radiation parameter |

Pr | Prandtl number |

q_{r} | radiation flux |

$T$ | temperature |

v | vertical velocity along the plate |

u_{o} | suction velocity perpendicular to plate |

$\mathrm{U}$ | dimensionless vertical velocity |

x | x-coordinate in horizontal direction |

$X$ | dimensionless coordinate in horizontal direction |

$\mathrm{Pr}$ | Prandtl number |

$\epsilon $ | viscous dissipation parameter |

$M$ | magnetic parameter |

$E$ | Ecker number |

$\mathrm{Re}$ | Renolds number |

$Br$ | Brinkman number |

${T}_{p}$ | Temperature difference parameter |

Greek Symbols | |

α | thermal diffusivity |

β | coefficient of thermal expansion |

ρ | density |

$\theta $ | dimensionless temperature |

μ, v | coefficients of dynamic and kinematic viscosity, respectively |

$\sigma $ | Stephan Boltzmann constant |

${\beta}_{R}$ | absorption coefficient |

Subscripts | |

w | wall |

$\infty $ | far away condition |

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**MDPI and ACS Style**

Ahammad, N.A.; Badruddin, I.A.; Kamangar, S.; Khaleed, H.M.T.; Saleel, C.A.; Mahlia, T.M.I.
Heat Transfer and Entropy in a Vertical Porous Plate Subjected to Suction Velocity and MHD. *Entropy* **2021**, *23*, 1069.
https://doi.org/10.3390/e23081069

**AMA Style**

Ahammad NA, Badruddin IA, Kamangar S, Khaleed HMT, Saleel CA, Mahlia TMI.
Heat Transfer and Entropy in a Vertical Porous Plate Subjected to Suction Velocity and MHD. *Entropy*. 2021; 23(8):1069.
https://doi.org/10.3390/e23081069

**Chicago/Turabian Style**

Ahammad, N. Ameer, Irfan Anjum Badruddin, Sarfaraz Kamangar, H.M.T. Khaleed, C. Ahamed Saleel, and Teuku Meurah Indra Mahlia.
2021. "Heat Transfer and Entropy in a Vertical Porous Plate Subjected to Suction Velocity and MHD" *Entropy* 23, no. 8: 1069.
https://doi.org/10.3390/e23081069