Theoretical analysis of unsteady squeezing nanofluid flow with physical properties

Aamir Saeed; Rehan Ali Shah; Muhammad Sohail Khan; Unai Fernandez-Gamiz; Mutasem Z. Bani-Fwaz; Samad Noeiaghdam; Ahmed M. Galal; Aamir Saeed; Rehan Ali Shah; Muhammad Sohail Khan; Unai Fernandez-Gamiz; Mutasem Z. Bani-Fwaz; Samad Noeiaghdam; Ahmed M. Galal

doi:10.3934/mbe.2022477

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 10: 10176-10191. doi: 10.3934/mbe.2022477

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Theoretical analysis of unsteady squeezing nanofluid flow with physical properties

1.
Department of Basie Sciences and Islamiat, University of Engineering and Technology Peshawar, Khyber Pakhtoon Khwa, Pakistan
2.
School of Mathematical Sciences, Jiangsu University, Zhenjiang 212013, China
3.
Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz 01006, Spain
4.
Chemistry Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia
5.
Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, Chelyabinsk 454080, Russia
6.
Industrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, Irkutsk 664074, Russia
7.
Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi addawaser 11991, Saudi Arabia
8.
Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, P.O 35516, Mansoura, Egypt

Academic Editor: Xiaodi Li

Received: 28 April 2022 Revised: 11 June 2022 Accepted: 20 June 2022 Published: 19 July 2022

Theoretical analysis of physical characteristics of unsteady, squeezing nanofluid flow is studied. The flow of nanofluid between two plates that placed parallel in a rotating system by keeping the variable physical properties: viscosity and thermal conductivity. It is analyzed by using Navier Stokes Equation, Energy Equation and Concentration equation. The prominent equations are transformed by virtue of suitable similarity transformation. Nanofluid model includes the important effects of Thermophoresis and Brownian motion. For analysis graphical results are drawn for verity parameters of our interest i.e., Injection parameter, Squeezing number, Prandtle number and Schmidt number are investigated for the Velocity field, Temperature variation and Concentration profile numerically. The findings underline that the parameter of skin friction increases when the Squeezing Reynolds number, Injection parameter and Prandtle number increases. However, it shows inverse relationship with Schmidt number and Rotation parameter. Furthermore, direct relationship of Nusselt number with injection parameter and Reynolds number is observed while its relation with Schmidt number, Rotation parameter, Brownian parameter and Thermophoretic parameter shows an opposite trend. The results are thus obtained through Parametric Continuation Method (PCM) which is further validated through BVP4c. Moreover, the results are tabulated and set forth for comparison of findings through PCM and BVP4c which shows that the obtained results correspond to each other.
- nanofluid,
- squeezing flow,
- viscosity,
- thermal conductivity,
- parallel plates,
- injection of fluid,
- unsteady,
- similarity transformations
Citation: Aamir Saeed, Rehan Ali Shah, Muhammad Sohail Khan, Unai Fernandez-Gamiz, Mutasem Z. Bani-Fwaz, Samad Noeiaghdam, Ahmed M. Galal. Theoretical analysis of unsteady squeezing nanofluid flow with physical properties[J]. Mathematical Biosciences and Engineering, 2022, 19(10): 10176-10191. doi: 10.3934/mbe.2022477

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Abstract

Theoretical analysis of physical characteristics of unsteady, squeezing nanofluid flow is studied. The flow of nanofluid between two plates that placed parallel in a rotating system by keeping the variable physical properties: viscosity and thermal conductivity. It is analyzed by using Navier Stokes Equation, Energy Equation and Concentration equation. The prominent equations are transformed by virtue of suitable similarity transformation. Nanofluid model includes the important effects of Thermophoresis and Brownian motion. For analysis graphical results are drawn for verity parameters of our interest i.e., Injection parameter, Squeezing number, Prandtle number and Schmidt number are investigated for the Velocity field, Temperature variation and Concentration profile numerically. The findings underline that the parameter of skin friction increases when the Squeezing Reynolds number, Injection parameter and Prandtle number increases. However, it shows inverse relationship with Schmidt number and Rotation parameter. Furthermore, direct relationship of Nusselt number with injection parameter and Reynolds number is observed while its relation with Schmidt number, Rotation parameter, Brownian parameter and Thermophoretic parameter shows an opposite trend. The results are thus obtained through Parametric Continuation Method (PCM) which is further validated through BVP4c. Moreover, the results are tabulated and set forth for comparison of findings through PCM and BVP4c which shows that the obtained results correspond to each other.

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