# Study the effect of chemical reaction and variable viscosity on free convection MHD radiating flow over an inclined plate bounded by porous medium

## Abstract

An analysis is performed to study the free convection heat and mass transfer flow of an electrically conducting incompressible viscous fluid about a semi-infinite inclined porous plate under the action of radiation, chemical reaction in presence of magnetic field with variable viscosity. The dimensionless governing equations are steady, two-dimensional coupled and non-linear ordinary differential equation. Nachtsgeim-Swigert shooting iteration technique along with Runge-Kutta integration scheme is used to solve the non-dimensional governing equations. The effects of magnetic parameter, viscosity parameter and chemical reaction parameter on velocity, temperature and concentration profiles are discussed numerically and shown graphically. Therefore, the results of velocity profile decreases for increasing values of magnetic parameter and viscosity parameter but there is no effect for reaction parameter. The temperature profile decreases in presence of magnetic parameter, viscosity parameter and Prandtl number but increases for radiation parameter. Also, concentration profile decreases for the increasing values of magnetic parameter, viscosity parameter and reaction parameter. All numerical calculations are done with respect to salt water and fixed angle of inclination of the plate.

- Authors:

- Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka-1000 (Bangladesh)
- (Bangladesh)
- Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong-4349 (Bangladesh)

- Publication Date:

- OSTI Identifier:
- 22608549

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1754; Journal Issue: 1; Conference: ICME 2015: 11. international conference on mechanical engineering, Dhaka (Bangladesh), 18-20 Dec 2015; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ABUNDANCE; CHEMICAL REACTIONS; CONCENTRATION RATIO; DIFFERENTIAL EQUATIONS; HEAT; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; NATURAL CONVECTION; NONLINEAR PROBLEMS; POROUS MATERIALS; PRANDTL NUMBER; TWO-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL SYSTEMS; VELOCITY; VISCOSITY; WATER

### Citation Formats

```
Ali, M., E-mail: ali.mehidi93@gmail.com, Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong-4349, Alim, M. A., E-mail: maalim@math.buet.ac.bd, Nasrin, R., E-mail: rehena@math.buet.ac.bd, and Alam, M. S., E-mail: shahalammaths@gmail.com.
```*Study the effect of chemical reaction and variable viscosity on free convection MHD radiating flow over an inclined plate bounded by porous medium*. United States: N. p., 2016.
Web. doi:10.1063/1.4958369.

```
Ali, M., E-mail: ali.mehidi93@gmail.com, Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong-4349, Alim, M. A., E-mail: maalim@math.buet.ac.bd, Nasrin, R., E-mail: rehena@math.buet.ac.bd, & Alam, M. S., E-mail: shahalammaths@gmail.com.
```*Study the effect of chemical reaction and variable viscosity on free convection MHD radiating flow over an inclined plate bounded by porous medium*. United States. doi:10.1063/1.4958369.

```
Ali, M., E-mail: ali.mehidi93@gmail.com, Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong-4349, Alim, M. A., E-mail: maalim@math.buet.ac.bd, Nasrin, R., E-mail: rehena@math.buet.ac.bd, and Alam, M. S., E-mail: shahalammaths@gmail.com. Tue .
"Study the effect of chemical reaction and variable viscosity on free convection MHD radiating flow over an inclined plate bounded by porous medium". United States.
doi:10.1063/1.4958369.
```

```
@article{osti_22608549,
```

title = {Study the effect of chemical reaction and variable viscosity on free convection MHD radiating flow over an inclined plate bounded by porous medium},

author = {Ali, M., E-mail: ali.mehidi93@gmail.com and Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong-4349 and Alim, M. A., E-mail: maalim@math.buet.ac.bd and Nasrin, R., E-mail: rehena@math.buet.ac.bd and Alam, M. S., E-mail: shahalammaths@gmail.com},

abstractNote = {An analysis is performed to study the free convection heat and mass transfer flow of an electrically conducting incompressible viscous fluid about a semi-infinite inclined porous plate under the action of radiation, chemical reaction in presence of magnetic field with variable viscosity. The dimensionless governing equations are steady, two-dimensional coupled and non-linear ordinary differential equation. Nachtsgeim-Swigert shooting iteration technique along with Runge-Kutta integration scheme is used to solve the non-dimensional governing equations. The effects of magnetic parameter, viscosity parameter and chemical reaction parameter on velocity, temperature and concentration profiles are discussed numerically and shown graphically. Therefore, the results of velocity profile decreases for increasing values of magnetic parameter and viscosity parameter but there is no effect for reaction parameter. The temperature profile decreases in presence of magnetic parameter, viscosity parameter and Prandtl number but increases for radiation parameter. Also, concentration profile decreases for the increasing values of magnetic parameter, viscosity parameter and reaction parameter. All numerical calculations are done with respect to salt water and fixed angle of inclination of the plate.},

doi = {10.1063/1.4958369},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1754,

place = {United States},

year = {Tue Jul 12 00:00:00 EDT 2016},

month = {Tue Jul 12 00:00:00 EDT 2016}

}