Ink Viscosity Calculation Using Arrhenius Parameters
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Solution Overview
Problem
Existing methods for managing ink quality in inkjet printers across temperature variations require establishing and storing reference viscosity curves for each ink, which is time-consuming and costly, and do not account for the solvent's evaporation, leading to inconsistent printing quality.
Innovation Solution
A method that calculates ink viscosity at any temperature using the viscosity at a reference temperature, the Arrhenius activation energy, and an optional correction factor, eliminating the need for extensive viscosity measurements and storage of curves for each ink, by using the solvent's viscosity-temperature relationship.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If reference viscosity curves are established and stored for each ink, then ink quality management precision is improved, but the time and cost required for measurements and storage increase significantly
Solution Approach 1:
The patent extracts the temperature-dependent viscosity behavior from individual ink-specific curves and identifies it as a universal characteristic of the solvent system. By separating the solvent's inherent viscosity-temperature relationship from ink-specific parameters, the method eliminates the need to store and measure complete viscosity curves for each ink, reducing time and computational requirements while maintaining accuracy.
Solution Approach 2:
The patent establishes that the solvent's viscosity-temperature relationship serves as a universal model applicable to all inks using that solvent system. This universal curve replaces the need for multiple ink-specific curves, allowing a single reference model to manage quality for various ink formulations, thereby reducing measurement and storage requirements.
2Manufacturing precision
If extensive viscosity measurements are conducted for each ink across temperature ranges, then ink quality control accuracy is improved, but the cost and complexity of the system increase
Solution Approach 1:
The patent extracts the essential temperature-dependent behavior from complex ink viscosity characteristics and identifies it as being governed primarily by the solvent's Arrhenius parameters. This extraction simplifies the system by replacing complex ink-specific viscosity modeling with a universal solvent-based model, reducing computational complexity while maintaining control accuracy.
Solution Approach 2:
The patent transforms the problem from requiring multiple viscosity measurements across temperature ranges to using a single reference viscosity value combined with universal Arrhenius parameters. This parameter transformation reduces the dimensionality of the data required, simplifying the system while maintaining precision through the mathematical model's ability to predict viscosity at any temperature.
3Ease of manufacture
If solvent evaporation is not compensated, then the ink recycling process is simpler, but the ink quality becomes inconsistent due to changing viscosity
Solution Approach 1:
The patent implements a feedback mechanism where the calculated viscosity (based on temperature and Arrhenius parameters) is continuously compared with the actual viscosity or expected performance. This feedback allows the system to detect and compensate for solvent evaporation effects, maintaining ink quality consistency while keeping the recycling process simple by using computational adjustment rather than complex physical compensation mechanisms.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach simplifies ink quality management by reducing the number of required measurements and storage, ensuring consistent ink viscosity and printing quality across a range of temperatures with minimal operator intervention and reduced costs.
Implementation Method 1
the parameters K or Ln(K), and -E/R of the equation giving the viscosity of the solvent or of the mixture of solvents: Ln (viscosity of the solvent)=Ln(K)−E/RT (1)
Implementation Method 2
the recovered ink does not have the same properties as the ink emitted in the jet, mainly because of evaporation of solvent
Data Source
AI summary
A method for managing the quality of an ink of an inkjet printer versus temperature resorting to the management of the viscosity of the ink versus temperature, the ink comprising a solvent or a mixture of solvents and the solvent or mixture of solvents representing at least 50% by mass of the total mass of the ink, wherein the viscosity of the ink at a temperature T is calculated from the following parameters: the viscosity of the ink at a single reference temperature Tref; the parameters K or Ln(K), and −E/R of equation (1) giving the viscosity of the solvent or of the mixture of solvents: Ln (viscosity of the solvent)=Ln(K)−E/RT (1) wherein E is the Arrhenius activation energy given in J/mol and R is the ideal gas constant.