# Magnetohydrodynamic (MHD) flow of Cu-water nanofluid due to a rotating disk with partial slip

## Abstract

This paper investigates MHD steady flow of viscous nanofluid due to a rotating disk. Water is treated as a base fluid and copper as nanoparticle. Nanofluid fills the porous medium. Effects of partial slip, viscous dissipation and thermal radiation are also considered. Similarity transformations reduce the nonlinear partial differential equations to ordinary differential equations. Flow and heat transfer characteristics are computed by HAM solutions. Also computations for skin friction coefficient and Nusselt number are presented and examined for pertinent parameters. It is noted that higher velocity slip parameter decreases the radial and azimuthal velocities while temperature decreases for larger values of the thermal slip parameter. Also the rate of heat transfer enhances when the nanoparticle volume fraction increases.

- Authors:

- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000 (Pakistan)
- (Saudi Arabia)
- Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589 (Saudi Arabia)

- Publication Date:

- OSTI Identifier:
- 22493925

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Advances; Journal Volume: 5; Journal Issue: 6; Other Information: (c) 2015 Author(s); Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CALCULATION METHODS; COPPER; FRICTION FACTOR; HEAT TRANSFER; MAGNETOHYDRODYNAMICS; NANOFLUIDS; NONLINEAR PROBLEMS; NUSSELT NUMBER; PARTIAL DIFFERENTIAL EQUATIONS; POROUS MATERIALS; SLIP; STEADY FLOW; THERMAL RADIATION; WATER

### Citation Formats

```
Hayat, Tasawar, Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Rashid, Madiha, Imtiaz, Maria, E-mail: mi-qau@yahoo.com, and Alsaedi, Ahmed.
```*Magnetohydrodynamic (MHD) flow of Cu-water nanofluid due to a rotating disk with partial slip*. United States: N. p., 2015.
Web. doi:10.1063/1.4923380.

```
Hayat, Tasawar, Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Rashid, Madiha, Imtiaz, Maria, E-mail: mi-qau@yahoo.com, & Alsaedi, Ahmed.
```*Magnetohydrodynamic (MHD) flow of Cu-water nanofluid due to a rotating disk with partial slip*. United States. doi:10.1063/1.4923380.

```
Hayat, Tasawar, Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Rashid, Madiha, Imtiaz, Maria, E-mail: mi-qau@yahoo.com, and Alsaedi, Ahmed. Mon .
"Magnetohydrodynamic (MHD) flow of Cu-water nanofluid due to a rotating disk with partial slip". United States.
doi:10.1063/1.4923380.
```

```
@article{osti_22493925,
```

title = {Magnetohydrodynamic (MHD) flow of Cu-water nanofluid due to a rotating disk with partial slip},

author = {Hayat, Tasawar and Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589 and Rashid, Madiha and Imtiaz, Maria, E-mail: mi-qau@yahoo.com and Alsaedi, Ahmed},

abstractNote = {This paper investigates MHD steady flow of viscous nanofluid due to a rotating disk. Water is treated as a base fluid and copper as nanoparticle. Nanofluid fills the porous medium. Effects of partial slip, viscous dissipation and thermal radiation are also considered. Similarity transformations reduce the nonlinear partial differential equations to ordinary differential equations. Flow and heat transfer characteristics are computed by HAM solutions. Also computations for skin friction coefficient and Nusselt number are presented and examined for pertinent parameters. It is noted that higher velocity slip parameter decreases the radial and azimuthal velocities while temperature decreases for larger values of the thermal slip parameter. Also the rate of heat transfer enhances when the nanoparticle volume fraction increases.},

doi = {10.1063/1.4923380},

journal = {AIP Advances},

number = 6,

volume = 5,

place = {United States},

year = {Mon Jun 15 00:00:00 EDT 2015},

month = {Mon Jun 15 00:00:00 EDT 2015}

}