Peristaltic flow and heat transfer of a Herschel-Bulkley fluid in an inclined non-uniform channel with wall properties

14th International Conference on Science, Engineering and Technology

自然科学;工业技术

Sucharitha, G.^1 ; Vajravelu, K.^2 ; Sreenadh, S.^1 ; Lakshminarayana, P.^3

Department of Mathematics, Sri Venkateswara University, Tirupati

517502, India^1

Department of Mathematics, University of Central Florida, Orlando

FL

32816, United States^2

Department of Mathematics, School of Advanvced Sciences, VIT University, Vellore

632014, India^3

关键词: Herschel-Bulkley;    Herschel-Bulkley fluids;    Inclination angles;    Peristaltic flows;    Peristaltic transport;    Physical parameters;    Rate of heat transfer;    Shear thickening;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/263/6/062026/pdf
DOI  :  10.1088/1757-899X/263/6/062026

来源: IOP

【 摘 要 】

In the present work, we obtained analytical solutions for peristaltic flow and heat transfer of a Herschel-Bulkley (HB) fluid in an inclined non-uniform conduit with elastic walls. The effects of the physical parameters on the axial velocity, the streamlines, the temperature and the rate of heat transfer are discussed through graphs. Further, we discussed the results for the peristaltic transport of Newtonian, Bingham and power-law fluids. The variation in the power-law index n shows that the values of the velocity and the temperature fields are grater for shear thinning (n1) HB fluids. Also for n = 1, the results agree very well with the available results in the literature. Further, the inclination angle has a strong influence on the velocity and the temperature fields.