A method to control formation of particulate matter from a non-polar ignitable composition upon ignition of the non-polar ignitable composition in combination with control of sizes, and/or distribution of sizes, of the droplets of fluid in a non-polar ignitable composition alone or in combination with another physical and/or chemical property, the method comprising
- providing a host ignitable composition having a dielectric constant equal to or less than about 5;
- providing at least one framing associative polymer substantially soluble in the host ignitable composition, the at least one framing associative polymer having a weight averaged molecular weight equal to or higher to 400,000 g/mol;
- and
- combining the host ignitable composition and the at least one framing associative polymer at a concentration c selected between from about 0.05 c* to about 2.0 c*, depending on the weight averaged molecular weight and/or Radius of gyration of the at least one framing associative polymer and on a physical and/or chemical property to be controlled wherein
- c
- *
- =
- 3
-
- M
- W
- 4
-
- π
-
- (
- R
- g
- 2
- )
- 3
- /
- 2
-
- N
- a
- ,
- in which Mw is the weight averaged molecular weight, Rg is the radius of gyration, and Na is Avogadro's constant
- wherein the at least one framing associative polymer:
- a linear, branched, or hyperbranched polymer backbone having at least two ends and a functional group presented at two or more ends of the at least two ends of the linear, branched, or hyperbranched polymer backbone;
- wherein a number of the functional groups presented at the two or more ends is formed by associative functional groups each capable of undergoing an associative interaction with another associative functional group in the non-polar composition with an
- k
-
- (
- M
- -
- 1
- )
- ≥
- 4
- 3
-
- π
-
- (
- R
- ℊ
- 2
- )
- 3
- 2
-
- N
- a
- n
- F
- ×
- 10
- -
- 23
- in which Rg is the radius of gyration of the framing associative polymer in the non-polar composition in nanometers, Na is Avogadro's constant;
- and nF is the average number of the associative functional groups in the framing associative polymer;
- and
- wherein the combining is performed at a concentration selected to reduce formation of particulate matter from the host ignitable composition upon ignition of the host ignitable composition.