A Fractal Rheological Model for SiC Paste using a Fractal Derivative

doi:10.22055/JACM.2020.34859.2487

	A Fractal Rheological Model for SiC Paste using a Fractal Derivative
	Zuo, Yuting1,2 ; Liu, Hongjun1,2
	2021
发表期刊	JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS
ISSN	2383-4536
卷号	7 期号:1 页码:13-18
摘要	The rheological property plays an important role in a free-form extrusion 3D printing process, no rheological model was available in open literature that could effectively take into account effects of both the non-Newtonian viscosity and the concentration of nano/micro particles in a paste. Here a fractal law for non-Newtonian fluids is suggested using a fractal derivative, the law can predict correctly the boundary effect of a viscous flow, and can model effectively the nonlinear velocity distribution across the section. A systematic derivation of a fractal rheological model is suggested using the basic laws in the fluid mechanics, which can provide a deep insight into the two-scale fractal interpretation of non-Newtonian fluids. An experiment was carefully designed to verify the model and to elucidate the relationship between the shear rate and viscosity of the SiC paste. 15wt.%, 25wt.%, 35wt.% and 45wt.% SiC pastes were prepared by using mixing, stirring and ball milling processes. The rheology of the paste can be controlled primarily through the SiC concentration, which affects the fractal order. The fractal model sheds a bright light on a simple but accurate approach to non-Newtonian fluids.
关键词	CALCULUS PRESSURE
DOI	10.22055/JACM.2020.34859.2487
收录类别	ESCI ; SCOPUS
语种	英语
WOS研究方向	Mechanics
WOS类目	Mechanics
WOS记录号	WOS:000597799000002
出版者	SHAHID CHAMRAN UNIV AHVAZ, IRAN
来源库	WOS
引用统计	无
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/147267
专题	材料科学与工程学院国际教育学院
通讯作者	Zuo, Yuting
作者单位	1.Lanzhou Univ Technol, Sch Mat Sci & Engn, Lanzhou 730050, Peoples R China; 2.Lanzhou Univ Technol, State Key Lab Adv Proc & Recycling Nonferrous Met, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	材料科学与工程学院; 省部共建有色金属先进加工与再利用国家重点实验室
通讯作者单位	材料科学与工程学院; 省部共建有色金属先进加工与再利用国家重点实验室
第一作者的第一单位	材料科学与工程学院
推荐引用方式 GB/T 7714	Zuo, Yuting,Liu, Hongjun. A Fractal Rheological Model for SiC Paste using a Fractal Derivative[J]. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS,2021,7(1):13-18.
APA	Zuo, Yuting,&Liu, Hongjun.(2021).A Fractal Rheological Model for SiC Paste using a Fractal Derivative.JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS,7(1),13-18.
MLA	Zuo, Yuting,et al."A Fractal Rheological Model for SiC Paste using a Fractal Derivative".JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS 7.1(2021):13-18.