scholarly journals Thin-film flow of Carreau fluid over a stretching surface including the couple stress and uniform magnetic field

2021 ◽  
pp. 100162
Author(s):  
Muhammad Bilal ◽  
Anwar Saeed ◽  
Taza Gul ◽  
Muhammad Rehman ◽  
Amir Khan
Keyword(s):  
Magnetic Field ◽  
Thin Film ◽  
Couple Stress ◽  
Uniform Magnetic Field ◽  
Film Flow ◽  
Thin Film Flow ◽  
Stretching Surface ◽  
Carreau Fluid

Influences of Marangoni Convection and Variable Magnetic Field Hybrid Nanofluid Thin Film Flow past a Stretching Surface

2021 ◽  
Author(s):  
Noor Wali Khan ◽  
Arshad Khan ◽  
Muhammad Usman ◽  
Taza Gul ◽  
Abir Mouldi ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Thin Film ◽  
Film Flow ◽  
Marangoni Convection ◽  
Flow System ◽  
Thermal Characteristics ◽  
Variable Magnetic Field ◽  
Current Work ◽  
Hybrid Nanofluid ◽  
Thin Film Flow

Abstract The investigations about thin-film flow play a vital role in the field of optoelectronics and magnetic devices. Thin films are reasonably hard and thermally stable but are more fragile. The thermal stability of thin film can be further improved by incorporating the effects of nanoparticles. In the current work, a stretchable surface is considered upon which hybrid nanofluid thin-film flow is taken into account. The idea of augmenting heat transmission is focused in current work by making use of hybrid nanofluid. The flow is affected by variations in the viscous forces along with viscous dissipation effects and Marangoni convection. A time-constrained magnetic field is applied in the normal direction to the flow system. The equations governing the flow system are shifted to a non-dimensional form by applying similarity variables. The homotopy analysis method (HAM) has been employed to find the solution of resultant equations. It has been noticed in this study that, the flow characteristics decline with augmentation in magnetic, viscosity, and unsteadiness parameters while grow up with enhancing values of thin-film parameter. Thermal characteristics are supported by the growing values of the Eckert number and unsteadiness parameter while opposed by the viscosity parameter and Prandtl number. The numerical impact of different emerging parameters upon skin friction and Nusselt number has been calculated in tabular form. A comparison of current work with established result has carried out with a good agreement in both results.

scholarly journals Nanofluid thin film flow of Sisko fluid and variable heat transfer over an unsteady stretching surface with external magnetic field

2019 ◽  
Vol 13 ◽  
pp. 174830181983245 ◽  
Author(s):  
Muhammad Jawad ◽  
Zahir Shah ◽  
Saeed Islam ◽  
Waris Khan ◽  
Aurang Zeb Khan
Keyword(s):  
Magnetic Field ◽  
Thin Film ◽  
Brownian Motion ◽  
Liquid Film ◽  
Film Flow ◽  
Thin Film Flow ◽  
Sisko Fluid ◽  
Variable Heat ◽  
Liquid Film Flow ◽  
Optimal Approach

This research paper investigates two dimensional liquid film flow of Sisko nanofluid with variable heat transmission over an unsteady stretching sheet in the existence of uniform magnetic field. The basic governing time-dependent equations of the nanofluid flow phenomena with Sisko fluid are modeled and reduced to a system of differential equations with use of similarity transformation. The significant influence of Brownian motion and thermophoresis has been taken in the nanofluids model. An optimal approach is used to obtain the solution of the modeled problems. The convergence of the Homotopy Analysis Method (HAM) method has been shown numerically. The variation of the skin friction, Nusselt number and Sherwood number, their influence on liquid film flow with heat and mass transfer have been examined. The influence of the unsteadiness parameter [Formula: see text] over thin film is explored analytically for different values. Moreover for comprehension, the physical presentation of the embedded parameters, like [Formula: see text], magnetic parameter [Formula: see text], stretching parameter [Formula: see text] and Sisko fluid parameters [Formula: see text], Prandtl number Pr, thermophoretic parameter [Formula: see text], Brownian motion parameter [Formula: see text], Schmidt number [Formula: see text] have been represented by graph and discussed.

scholarly journals Thin Film Flow of Couple Stress Magneto-Hydrodynamics Nanofluid with Convective Heat over an Inclined Exponentially Rotating Stretched Surface

Coatings ◽  
2020 ◽  
Vol 10 (4) ◽  
pp. 338 ◽  
Author(s):  
Asifa Tassaddiq ◽  
Ibni Amin ◽  
Meshal Shutaywi ◽  
Zahir Shah ◽  
Farhad Ali ◽  
...  
Keyword(s):  
Thin Film ◽  
Brownian Motion ◽  
Differential Equations ◽  
Prandtl Number ◽  
Ordinary Differential Equations ◽  
Couple Stress ◽  
Magnetic Parameter ◽  
Film Flow ◽  
Thin Film Flow ◽  
Brownian Motion Parameter

In this article a couple stress magneto-hydrodynamic (MHD) nanofluid thin film flow over an exponential stretching sheet with joule heating and viscous dissipation is considered. Similarity transformations were used to obtain a non-linear coupled system of ordinary differential equations (ODEs) from a system of constitutive partial differential equations (PDEs). The system of ordinary differential equations of couple stress magneto-hydrodynamic (MHD) nanofluid flow was solved using the well-known Homotopy Analysis Method (HAM). Nusselt and Sherwood numbers were demonstrated in dimensionless forms. At zero Prandtl number the velocity profile was analytically described. Furthermore, the impact of different parameters over different state variables are presented with the help of graphs. Dimensionless numbers like magnetic parameter M, Brownian motion parameter Nb, Prandtl number Pr, thermophoretic parameter Nt, Schmidt number Sc, and rotation parameter S were analyzed over the velocity, temperature, and concentration profiles. It was observed that the magnetic parameter M increases the axial, radial, drainage, and induced profiles. It was also apparent that Nu reduces with greater values of Pr. On increasing values of the Brownian motion parameter the concentration profile declines, while the thermophoresis parameter increases.

scholarly journals The thin film flow of Al2O3 nanofluid particle over an unsteady stretching surface

2021 ◽  
pp. 101695
Author(s):  
Ramzan Ali ◽  
Azeem Shahzad ◽  
Kaif us Saher ◽  
Zaffar Ellahi ◽  
Tasawar Abbas
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Thin Film Flow ◽  
Stretching Surface ◽  
Unsteady Stretching Surface ◽  
Al2o3 Nanofluid

Thin film flow of Casson liquid over a nonlinear stretching sheet in the presence of a uniform transverse magnetic field

2015 ◽  
Vol 93 (10) ◽  
pp. 1067-1075 ◽  
Author(s):  
S.K. Singh ◽  
B.S. Dandapat
Keyword(s):  
Magnetic Field ◽  
Thin Film ◽  
Stretching Sheet ◽  
Film Flow ◽  
Thin Liquid Film ◽  
Nonlinear Partial Differential Equation ◽  
Thin Film Flow ◽  
Kantorovich Method ◽  
Film Thinning ◽  
Nonlinear Stretching

Thin film flow of Casson liquid over a nonlinear stretching sheet is studied in the presence of a transverse uniform magnetic field. The evolution equation for the film thickness is derived using the long-wave approximation for thin liquid film and this nonlinear partial differential equation is solved numerically by using the Newton–Kantorovich method. Four different types of nonlinear stretching velocities are considered to study the effects of Casson parameter and Hartmann number on film thinning rate and the corresponding film thinning patterns are analyzed. It is observed that the Casson parameter exerts resistance on film thinning. Further it is also found that all types of stretching generate film thinning, but non-monotonic stretching provides faster thinning at small distances from the origin.

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