### Abstract

Nonlinear forced convective hydromagnetic flow of an unsteady biomagnetic fluid over a wedge with convective surface has been analyzed numerically. The highly nonlinear coupled governing equations for the momentum, energy, angular momentum for the blood corpuscles and the magnetic induction are reduced to ordinary differential similarity equations by the introduction of a new similarity transformation. These equations are solved using very robust computer algebra software Maple 13. The effects of the various material parameters on the flow, temperature and microrotation fields are investigated. The results show that unsteadiness significantly controls the flow and heat transfer characteristics of the biomagnetic fluid. Strong unsteadiness may trigger back flow even for an accelerated flow. Due to the strong magnetic effect blood corpuscles may oscillate along the surface of the wedge. Induced magnetic field reduces fluid velocity and gives rise to its temperature significantly, which suggests that in the modeling of biomagnetic fluid the effect of induced magnetic field should be taken into account.

Original language | English |
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Title of host publication | Springer Proceedings in Complexity |

Publisher | Springer |

Pages | 423-452 |

Number of pages | 30 |

DOIs | |

Publication status | Published - Jan 1 2014 |

### Fingerprint

### Keywords

- Biot number
- Boundary layer thickness
- Momentum thickness
- Nusselt number
- Skin friction coefficient

### ASJC Scopus subject areas

- Applied Mathematics
- Modelling and Simulation
- Computer Science Applications

### Cite this

*Springer Proceedings in Complexity*(pp. 423-452). Springer. https://doi.org/10.1007/978-94-007-7362-2_49

**Nonlinear forced convective hydromagnetic flow of unsteady biomagnetic fluid over a wedge with convective surface condition.** / Rahman, Mohammad Mansur; Sattar, M. A.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Springer Proceedings in Complexity.*Springer, pp. 423-452. https://doi.org/10.1007/978-94-007-7362-2_49

}

TY - CHAP

T1 - Nonlinear forced convective hydromagnetic flow of unsteady biomagnetic fluid over a wedge with convective surface condition

AU - Rahman, Mohammad Mansur

AU - Sattar, M. A.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - Nonlinear forced convective hydromagnetic flow of an unsteady biomagnetic fluid over a wedge with convective surface has been analyzed numerically. The highly nonlinear coupled governing equations for the momentum, energy, angular momentum for the blood corpuscles and the magnetic induction are reduced to ordinary differential similarity equations by the introduction of a new similarity transformation. These equations are solved using very robust computer algebra software Maple 13. The effects of the various material parameters on the flow, temperature and microrotation fields are investigated. The results show that unsteadiness significantly controls the flow and heat transfer characteristics of the biomagnetic fluid. Strong unsteadiness may trigger back flow even for an accelerated flow. Due to the strong magnetic effect blood corpuscles may oscillate along the surface of the wedge. Induced magnetic field reduces fluid velocity and gives rise to its temperature significantly, which suggests that in the modeling of biomagnetic fluid the effect of induced magnetic field should be taken into account.

AB - Nonlinear forced convective hydromagnetic flow of an unsteady biomagnetic fluid over a wedge with convective surface has been analyzed numerically. The highly nonlinear coupled governing equations for the momentum, energy, angular momentum for the blood corpuscles and the magnetic induction are reduced to ordinary differential similarity equations by the introduction of a new similarity transformation. These equations are solved using very robust computer algebra software Maple 13. The effects of the various material parameters on the flow, temperature and microrotation fields are investigated. The results show that unsteadiness significantly controls the flow and heat transfer characteristics of the biomagnetic fluid. Strong unsteadiness may trigger back flow even for an accelerated flow. Due to the strong magnetic effect blood corpuscles may oscillate along the surface of the wedge. Induced magnetic field reduces fluid velocity and gives rise to its temperature significantly, which suggests that in the modeling of biomagnetic fluid the effect of induced magnetic field should be taken into account.

KW - Biot number

KW - Boundary layer thickness

KW - Momentum thickness

KW - Nusselt number

KW - Skin friction coefficient

UR - http://www.scopus.com/inward/record.url?scp=84938352553&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84938352553&partnerID=8YFLogxK

U2 - 10.1007/978-94-007-7362-2_49

DO - 10.1007/978-94-007-7362-2_49

M3 - Chapter

SP - 423

EP - 452

BT - Springer Proceedings in Complexity

PB - Springer

ER -