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Dynamic viscosity air curve fitting
Dynamic viscosity air curve fitting







At low shear rates the sample‘s viscosity at rest is measured (e.g. in the mixing process of dairy substances and for the generation of new formulations for vegetable sauces. In nearly all production stages the viscosity of food samples has a great impact e.g. A material can show different flow behaviors such as ideally viscous, shear-thinning and shear-thickening behavior. A measurement on a rotational viscometer/rheometer in which the shear rate is increased step-wise and the respective shear stress is determined for each shear rate is called a flow curve. The results of a rotational test can be displayed on the one hand as a flow curve diagram showing the resulting shear stress values, and on the other hand as the corresponding viscosity function. Typical rotational tests are viscosity functions that depend on shear rate, shear stress, time, or temperature. Such a measurement, where the shear rate is increased and the resulting shear stress is measured, is called a flow curve. This means that the viscometer translates the chosen shear rate into speed and measures the resulting torque, which it then translates into shear stress. In a typical rotational test, the shear rate is preset. Torque × conversion factor = shear stress Usually, this is automatically done by the instrument. The viscometer’s speed is converted into shear rate using a conversion factor (the factor depends on the measuring geometry used) and the torque is also converted into shear stress using a conversion factor.

Dynamic viscosity air curve fitting iso#

The physical properties speed and torque can be translated into the rheological properties shear rate and shear stress if the measurement is performed using a standard measuring geometry according to ISO 3219. When we measure the viscosity on a rotational viscometer we apply to the sample a certain shear stress or a certain shear rate, respectively. Newton's Law defines the dynamic viscosity η as the shear stress divided by the shear rate. This torque has to overcome the viscous forces of the tested substance and is therefore a measure for its viscosity.Ī rotational viscometer measures the dynamic viscosity of a sample. The rotational speed of the bob is preset and produces the motor torque that is needed to rotate the measuring bob. To use the equation for specific x-values, input the x-value into the equation, and calculate the corresponding y-value.Most rotational viscometers/rheometers work according to the Searle principle: A motor drives a bob inside a fixed cup. Now you have a polynomial curve fitting equation that can be used to read or predict values from the graphical chart. (Optional) Adjust the trendline: If necessary, you can adjust the trendline by changing its order or by selecting other options in the 'Format Trendline' pane, such as setting the line color or style. In the 'Format Trendline' pane that appears, select 'Polynomial' under 'Trendline Options.' You can adjust the 'Order' field to set the degree of the polynomial equation (e.g., 2 for a quadratic, 3 for a cubic).ĭisplay the equation on the chart: In the 'Format Trendline' pane, check the box for 'Display Equation on chart.' The polynomial equation that best fits the data points will appear on the chart. Then, right-click on the selected data point and choose 'Add Trendline.' from the context menu. List the x-values in one column (e.g., A2:A10) and the corresponding y-values in the next column (e.g., B2:B10).Ĭreate a scatter plot: Select the data points (both x and y values), then go to the 'Insert' tab, click on the scatter plot icon, and choose 'Scatter.' This will create a scatter plot of the data points in your chart.Īdd a polynomial trendline: Click on any data point in the scatter plot to select the series. Here's a step-by-step guide:Įnter the data points: In Excel, input the data points from the graphical chart. In Excel, you can use the polynomial curve fitting function to read graphical charts and obtain a polynomial equation that best fits the data. Third order polynomial formulae are developed so that any property can be calculated for a given temperature. Specific Heat Capacity at constant volume Specific Heat Capacity at constant pressure. The properties of dry air at various temperatures.







Dynamic viscosity air curve fitting