A versatile surface rheometer

Summary In the study of the physical properties of hydrocolloid films at the aqueous-air interface and aqueousoil interface it is necessary to be able to look at the whole range of rheological properties from low viscosity liquid to viscoelastic solid. It is desirable to follow all these stages, in succession, sometimes, with one piece of apparatus.The apparatus developed can be used in three basic modes without modification. Continuous shear (as a surface Couette viscometer). Free Oscillation, and Creep and Creep Recovery.In continuous shear, a cylindrical dish containing the aqueous solution of the hydrocolloid and the oil layer, is rotated about its vertical axis at a known constant velocity. The shear stress is determined from the angular deflection of a shallow angled biconical pendulum suspended in the oil-water interface by means of a long vertical wire. The shear rate is calculated from the speed of rotation of the dish.In free oscillation the amplitude and period of oscillation of the biconical pendulum, suspended on the wire are recorded using an optical lever, photo-cell, and pulse counting circuit. or observed directly from the movement of a spot of light projected onto a horizontal scale.In creep, constant surface shear stress is applied, by arranging that the twist in the vertical wire supporting the biconical. pendulum, remains constant during the experiment. A servomechanism, controlled by the optical lever and photo-cell, mentioned above, drives the cylindrical dish by an amount necessary to maintain the constant shear stress. The deformation of the interfacial film is recorded in digital form as the number of pulses fed to a stepping motor which, itself, is an integral part of the servomechanism.The smallest deformation of the interfacial film corresponds to an angular movement of the pendulum bob of about 3 × 10^–4 radian. The applied torque depends on the thickness of the suspension wire and the twist in it. The latter can be measured to 0.25°.

---

Zusammenfassung Bei Untersuchungen der physikalischen Eigenschaften hydrokolloidaler Filme an den Grenzflächen von einem wäßrigen Medium und Luft sowie wäßrigem Medium und Öl sollte man unbedingt den gesamten Bereich der Theologischen Eigenschaften in Betracht ziehen, d. h. von Flüssigkeiten mit geringer Viskosität bis zu viskoelastischen Feststoffen. Es ist wünschenswert, alle diese aufeinanderfolgenden Stufen mit einem Gerät zu untersuchen.Das Gerät, das entwickelt wurde, kann ohne Modifikation auf drei verschiedene Arten gebraucht werden: Kontinuierliche Scherversuche (als Oberflächen-Couette-Viskosimeter), freie Schwingungen und Kriech- sowie Kriecherholungsversuche.Bei kontinuierlich-veränderlicher Schubspannung wird eine zylinderförmige Schale mit der wäßrigen Lösung des Hydrokolloids und der Ölschicht mit einer bekannten konstanten Geschwindigkeit um die senkrechte Achse gedreht. Vom Ausschlagwinkel eines zweiseitig konisch zulaufenden Pendels, das mit einem langen Draht in der Öl-Wassergrenzschicht hängt, wird die Schubspannung bestimmt. Die Schergeschwindigkeit folgt aus der Umlaufgeschwindigkeit der Schale.Bei der freien Schwingung werden die Amplitude und die Periode des bikonischen Pendels durch ein optisches System mit Photozelle und Impulszähleinheit oder direkt durch die Bewegung eines Lichtstrahles, der auf eine horizontale Skala projiziert wird, bestimmt.Beim Kriech-Versuch wird eine konstante Oberflächen-Schubspannung erzeugt, indem die Verdrehung des vertikalen Drahtes, an dem das bikonische Pendel aufgehängt ist, während des Experimentes konstant gehalten wird. Ein mit Lichtstrahl und Photozelle kontrollierter Servomechanismus dreht die zylinderförmige Schale immer so, daß die Schubspannung gleichbleibt. Die Deformation des Grenzflächenfilmes wird als Anzahl von Impulsen numerisch gespeichert, die dem Schrittmotor des Servomechanismus zugegangen sind.Die geringste Deformation des Grenzflächenfilmes entspricht einer Winkelbewegung des Pendelkörpers von etwa 3·10^–4 im Bogenmaß. Das übertragene Moment ist unabhängig von der Stärke und der Verdrehung des Aufhängedrahtes. Die geringste Verdrehung, die gemessen werden kann, beträgt 0.25°.

---

Paper presented to the British Society of Rheology Conference on Rheology in Medicine and Pharmacy, London, April 14–15, 1970.     

A survey of contingency factors affecting the validation of end-user spreadsheet-based decision support systems

Decision support systems have become widespread in recent years. However, most of these systems are not carefully validated and this has led in some cases to serious errors. One of the principal reasons for the lack of validity is the lack of an operationalised validation methodology. A simplified validity framework has already been developed by the authors as the first part of a 3-phase approach towards devising a practical validation methodology. This paper describes the second phase, reporting as it does on a survey that has been undertaken to unearth the contingency factors that influence how the process of validation, employing the validity framework, will be carried out for a particular kind of decision support system—one involving a spreadsheet model.     

Practical Synthesis of Sugar Monophosphonucleotides

A reliable procedure for the preparation of sugar nucleoside monophosphates is presented, which involves condensation of an activated glycosyl‐1‐H‐phosphonate with an appropriately protected nucleoside and simple end‐product isolation via lithium perchlorate–induced precipitation. The utility of these methods is demonstrated by the preparation of a number of purine‐ and pyrimidine‐based sugar nucleoside monophosphate derivatives.     

电感耦合等离子体原子发射光谱法测定钛酸钡纳米粉体中7种杂质元素

钛酸钡纳米粉体样品用盐酸溶解,在所得样品溶液中用电感耦合等离子体原子发射光谱法测定了以氧化物存在于样品中的7种杂质元素(包括镁、锶、钾、钠、铝、硅及铁),对测定的光谱条件进行了试验并优化达到上述各元素的测定上限为0.1%(质量分数).测得方法的检出限(3S/b)为(单位μg·L-1):2.0(铝),1.0(铁),20.0(钾),0.2(镁),4.0(钠),3.0(硅)及0.5(锶).应用此方法分析了两件实样,所得结果的相对标准偏差(n=6)小于等于2.0%,对其中4种杂质元素(镁、钾、钠和锶)同时用HG/T 3587-1999标准中的方法作分析校核,所得结果与此方法结果一致.     

A one-pot sulfide to sulfone oxidation with m-chloroperoxybenzoic acid and sodium permanganate

A synthetic strategy towards [2-(1H-indol-5-yl)-6-morpholin-4-ylpyrimidin-4-yl]methylsulfones is described, utilising m-chloroperoxybenzoic acid and sodium permanganate in a one-pot sulfide-sulfone oxidation.     

Strongarm arcade games: a case study in mathematical modelling

Two linked cases are described, that have been used many times over many years with MBA students to teach both basic spreadsheet design and mathematical modelling and to act as a framework to stimulate thought about the wider considerations associated with the application of mathematical models. The broad aspects of the mathematical modelling methodology that are taught are first briefly considered. The simpler case together with its more demanding extension are both presented. The students' approaches are then categorised and the common mistakes/weaknesses and the strength of submissions are listed. This paper closes with a consideration of the value of the cases in student teaching. Solutions to both cases, applying the mathematical modelling methodology in detail, are given in Appendices.     

Experiences in Developing an Expert System for MBA Admissions

An expert system to assist in admitting students onto a part-time postgraduate course has been developed through three phases, using an expert systems shell. The first phase was an unstructured approach, which demonstrated the feasibility of the system but led to difficulties in development. The second phase followed a simplified systems analysis and resulted in a more comprehensive and structured system. However, its operation was cumbersome and unfriendly. The third phase involved developing a mathematical model of the decision-maker's judgement and led to a simpler, more effective and easier to use system.     

Solitary wave solutions to nonlinear evolution equations in mathematical physics

This paper obtains solitons as well as other solutions to a few nonlinear evolution equations that appear in various areas of mathematical physics. The two analytical integrators that are applied to extract solutions are tan–cot method and functional variable approaches. The soliton solutions can be used in the further study of shallow water waves in (1+1) as well as (2+1) dimensions.