scholarly journals Influence of Inclined Magnetic Field on Carreau Nanoliquid Thin Film Flow and Heat Transfer with Graphene Nanoparticles

Energies ◽  
2019 ◽  
Vol 12 (8) ◽  
pp. 1459 ◽  
Author(s):  
Noor Saeed Khan ◽  
Taza Gul ◽  
Poom Kumam ◽  
Zahir Shah ◽  
Saeed Islam ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Thin Film ◽  
Inclined Magnetic Field ◽  
Thin Film Flow ◽  
Analysis And Design ◽  
Similarity Transformations ◽  
Homotopy Analysis ◽  
Nice Agreement ◽  
Graphene Nanoparticles ◽  
Source Sink

The thermodynamics of a Carreau nanoliquid thin film embedded with graphene nanoparticles past a stretching sheet is studied in the presence of inclined magnetic field and non-uniform heat source/sink. Graphene is a new two-dimensional amphiphilic macromolecule which has great applications due to its electrical and mechanical properties. The basic constitutive equations of Carreau nanoliquid for velocity and temperature have been used. Similarity transformations are adopted to achieve the nonlinear coupled differential equations accompanying boundary conditions embedded with different parameters. HAM (Homotopy Analysis Method) is used to solve the transformed equations for expressions of velocity and temperature. Graphs are shown which illustrate the effects of various parameters of interest. There exists a nice agreement between the present and published results. The results are useful for the thermal conductivity and in the analysis and design of coating processes.

Inclined magnetic field effects on unsteady nanofluid flow and heat transfer in a finite thin film with non-uniform heat source/sink

2019 ◽  
Vol 15 (1) ◽  
pp. 265-282 ◽  
Author(s):  
Shib Sankar Giri ◽  
Kalidas Das ◽  
Prabir Kumar Kundu
Keyword(s):  
Magnetic Field ◽  
Thin Film ◽  
Heat Source ◽  
Inclined Magnetic Field ◽  
Magnetic Field Effects ◽  
Thin Film Flow ◽  
Specific Flow ◽  
Content Type ◽  
Uniform Heat ◽  
Source Sink

PurposeThe purpose of this paper is to discuss the flow and heat transference of unsteady nanofluid thin film flow due to linear stretching velocity over a horizontally placed stretching sheet in corporation of aligned magnetic field and non-uniform heat source/sink.Design/methodology/approachLeading equations of the course have been normalized via similarity approach and unraveled the resulting non-linear equations numerically by consuming RK-4 shooting practice to execute flow analysis.FindingsA close agreement of two sets (for two different base fluids – polyvinyl alcohol and water) of result is perceived. The authors find that inclined magnetic field and nanoparticles concentration curbed velocity distribution which, in turn, causes enrichment of system of temperature distribution.Originality/valueThe paper acquires realistic numerical explanations in form of rapidly convergent series. The influence of emergent flow parameters on specific flow are made appropriately via graphs and charts. An unbiased result scrutiny of the existing section with formerly conveyed result is provided.

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 Thin film flow of non-Newtonian fluids on a vertical moving belt using Homotopy Analysis Method

2009 ◽  
Vol 2 (1) ◽  
pp. 118-122 ◽  
Author(s):  
H. Nemati ◽  
◽  
M. Ghanbarpour ◽  
M. Hajibabayi ◽  
Hemmatnezhad ◽  
...  
Keyword(s):  
Thin Film ◽  
Homotopy Analysis Method ◽  
Film Flow ◽  
Newtonian Fluids ◽  
Analysis Method ◽  
Thin Film Flow ◽  
Homotopy Analysis

scholarly journals Viscoelastic MHD Nanofluid Thin Film Flow over an Unsteady Vertical Stretching Sheet with Entropy Generation

Processes ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 262 ◽  
Author(s):  
Asad Ullah ◽  
Zahir Shah ◽  
Poom Kumam ◽  
Muhammad Ayaz ◽  
Saeed Islam ◽  
...  
Keyword(s):  
Thin Film ◽  
Nusselt Number ◽  
Entropy Generation ◽  
Stretching Sheet ◽  
Film Flow ◽  
Analysis Method ◽  
Thin Film Flow ◽  
Nanofluid Flow ◽  
Boundary Layer Equations ◽  
Homotopy Analysis

The boundary-layer equations for mass and heat energy transfer with entropy generation are analyzed for the two-dimensional viscoelastic second-grade nanofluid thin film flow in the presence of a uniform magnetic field (MHD) over a vertical stretching sheet. Different factors, such as the thermophoresis effect, Brownian motion, and concentration gradients, are considered in the nanofluid model. The basic time-dependent equations of the nanofluid flow are modeled and transformed to the ordinary differential equations system by using similarity variables. Then the reduced system of equations is treated with the Homotopy Analysis Method to achieve the desire goal. The convergence of the method is prescribed by a numerical survey. The results obtained are more efficient than the available results for the boundary-layer equations, which is the beauty of the Homotopy Analysis Method, and shows the consistency, reliability, and accuracy of our obtained results. The effects of various parameters, such as Nusselt number, skin friction, and Sherwood number, on nanoliquid film flow are examined. Tables are displayed for skin friction, Sherwood number, and Nusselt number, which analyze the sheet surface in interaction with the nanofluid flow and other informative characteristics regarding this flow of the nanofluids. The behavior of the local Nusselt number and the entropy generation is examined numerically with the variations in the non-dimensional numbers. These results are shown with the help of graphs and briefly explained in the discussion. An analytical exploration is described for the unsteadiness parameter on the thin film. The larger values of the unsteadiness parameter increase the velocity profile. The nanofluid film velocity shows decline due the increasing values of the magnetic parameter. Moreover, a survey on the physical embedded parameters is given by graphs and discussed in detail.

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