2000
DOI: 10.1109/6104.895075
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Modeling of time-pressure fluid dispensing processes

Abstract: The process of time-pressure fluid dispensing has been widely employed in the semi-conductor industry, where the fluid is applied to boards or substrates. In such a process, the flow rate of fluid dispensed and the shape of fluid formed on the board are the two most critical performance indexes, yet extremely difficult to represent because of their complex behavior. This paper presents the development of a model for the time-pressure fluid dispensing process, by which the flow rate and shape can be established… Show more

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Cited by 48 publications
(28 citation statements)
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“…Pressures above this range (lower vacuum) led to rapid bulging of the initial droplet with no line formation, whereas pressures below this range (higher vacuum) led to failure of the printed lines through a necking type phenomenon (see Figure S2a,b, Supporting Information). The insensitivity of the dispensing pressure to the printing speed can be explained through the well-established time-pressure dispensing model [39] that can be applied in this case. Here, we assume (1) Newtonian flow of EGaIn following the findings in the literature [40] and (2) laminar flow considering the expected low flow rates and apply Bernoulli's equation with the corresponding frictional head losses [41] to obtain the following relation between the dispensing pressures and flow velocity …”
Section: Wileyonlinelibrarycommentioning
confidence: 99%
“…Pressures above this range (lower vacuum) led to rapid bulging of the initial droplet with no line formation, whereas pressures below this range (higher vacuum) led to failure of the printed lines through a necking type phenomenon (see Figure S2a,b, Supporting Information). The insensitivity of the dispensing pressure to the printing speed can be explained through the well-established time-pressure dispensing model [39] that can be applied in this case. Here, we assume (1) Newtonian flow of EGaIn following the findings in the literature [40] and (2) laminar flow considering the expected low flow rates and apply Bernoulli's equation with the corresponding frictional head losses [41] to obtain the following relation between the dispensing pressures and flow velocity …”
Section: Wileyonlinelibrarycommentioning
confidence: 99%
“…Pressurised air is supplied to the syringe through a transmission line, and a controller regulates the solenoid valve to drive a desirable amount of fluid out of the syringe needle. It is clear that in such a process the flow rate of the fluid dispensed depends not only on the air pressure and the dispensing time, which is clearly indicated by the conceptual approach [12], but also on the dynamics of the valve as well as the dynamics of the transmission line and syringe [4]. As a result, it is essential to understand the process dynamics of the dispensing system in order to accurately control the fluid dispensing.…”
Section: Introductionmentioning
confidence: 99%
“…The parameters are the shape and size of the dispensed material. Chen et al [4] have characterized the shape and spreading of the fluid on the board by solving a free-boundary problem. Consequently, this paper does not address the shape of the material after the dispensing process.…”
Section: Introductionmentioning
confidence: 99%
“…However, many of the equations cited are not applicable in modeling of non-Newtonian fluids such as adhesives, solder pastes and encapsulants. As presented by Chen et al [4], three models can be used for modeling rheological behaviors of dispensing fluids. They are Power Law, Generalized Power Law and TimeDependent Herschel-Bulkley Law which are respectively given by:…”
Section: Introductionmentioning
confidence: 99%
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