TY - JOUR
T1 - Theoretical analysis of unsteady squeezing nanofluid flow with physical properties
AU - Saeed, Aamir
AU - Shah, Rehan Ali
AU - Khan, Muhammad Sohail
AU - Fernandez-Gamiz, Unai
AU - Bani-Fwaz, Mutasem Z.
AU - Noeiaghdam, Samad
AU - Galal, Ahmed M.
N1 - Publisher Copyright:
© 2022 American Institute of Mathematical Sciences. All rights reserved.
PY - 2022
Y1 - 2022
N2 - 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 andRotation 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 isfurther validated through BVP4c. Moreover,the results are tabulated and set forth for comparisonof findings through PCM and BVP4c which shows that the obtained results correspond to each other.
AB - 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 andRotation 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 isfurther validated through BVP4c. Moreover,the results are tabulated and set forth for comparisonof findings through PCM and BVP4c which shows that the obtained results correspond to each other.
KW - injection of fluid
KW - nanofluid
KW - parallel plates
KW - similarity transformations
KW - squeezing flow
KW - thermal conductivity
KW - unsteady
KW - viscosity
UR - http://www.scopus.com/inward/record.url?scp=85135017542&partnerID=8YFLogxK
U2 - 10.3934/mbe.2022477
DO - 10.3934/mbe.2022477
M3 - Article
C2 - 36031990
AN - SCOPUS:85135017542
SN - 1547-1063
VL - 19
SP - 10176
EP - 10191
JO - Mathematical Biosciences and Engineering
JF - Mathematical Biosciences and Engineering
IS - 10
ER -